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Finding the Fourth Proportional to 3,875.38, 5,347.91 and 2,196.74

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Solution

The fourth proportional to 3,875.38, 5,347.91 and 2,196.74 is: 3,031.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.38 : 5,347.91 = 2,196.74 : x
  2. Step 2: Convert to fraction form
    3,875.38/5,347.91 = 2,196.74/x
  3. Step 3: Cross multiply
    3,875.38x = 5,347.91 × 2,196.74
  4. Step 4: Simplify right side
    3,875.38x = 11,747,967.81
  5. Step 5: Solve for x
    x = 11,747,967.81/3,875.38
  6. Step 6: Final answer
    x = 3,031.44

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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.