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Finding the Fourth Proportional to 3,960,031.06, 5,464,845.09 and 2,149,195.06

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Solution

The fourth proportional to 3,960,031.06, 5,464,845.09 and 2,149,195.06 is: 2,965,890.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960,031.06 : 5,464,845.09 = 2,149,195.06 : x
  2. Step 2: Convert to fraction form
    3,960,031.06/5,464,845.09 = 2,149,195.06/x
  3. Step 3: Cross multiply
    3,960,031.06x = 5,464,845.09 × 2,149,195.06
  4. Step 4: Simplify right side
    3,960,031.06x = 11,745,018,071,093.26
  5. Step 5: Solve for x
    x = 11,745,018,071,093.26/3,960,031.06
  6. Step 6: Final answer
    x = 2,965,890.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.