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Finding the Fourth Proportional to 4,055.35, 6,072.04 and 2,103.46

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Solution

The fourth proportional to 4,055.35, 6,072.04 and 2,103.46 is: 3,149.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,055.35 : 6,072.04 = 2,103.46 : x
  2. Step 2: Convert to fraction form
    4,055.35/6,072.04 = 2,103.46/x
  3. Step 3: Cross multiply
    4,055.35x = 6,072.04 × 2,103.46
  4. Step 4: Simplify right side
    4,055.35x = 12,772,293.26
  5. Step 5: Solve for x
    x = 12,772,293.26/4,055.35
  6. Step 6: Final answer
    x = 3,149.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.