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Finding the Fourth Proportional to 3,656.49, 5,044.20 and 2,397

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Solution

The fourth proportional to 3,656.49, 5,044.20 and 2,397 is: 3,306.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.49 : 5,044.20 = 2,397 : x
  2. Step 2: Convert to fraction form
    3,656.49/5,044.20 = 2,397/x
  3. Step 3: Cross multiply
    3,656.49x = 5,044.20 × 2,397
  4. Step 4: Simplify right side
    3,656.49x = 12,090,947.40
  5. Step 5: Solve for x
    x = 12,090,947.40/3,656.49
  6. Step 6: Final answer
    x = 3,306.71

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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.