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Finding the Fourth Proportional to 5,425.47, 7,480.98 and 3,654

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Solution

The fourth proportional to 5,425.47, 7,480.98 and 3,654 is: 5,038.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,425.47 : 7,480.98 = 3,654 : x
  2. Step 2: Convert to fraction form
    5,425.47/7,480.98 = 3,654/x
  3. Step 3: Cross multiply
    5,425.47x = 7,480.98 × 3,654
  4. Step 4: Simplify right side
    5,425.47x = 27,335,500.92
  5. Step 5: Solve for x
    x = 27,335,500.92/5,425.47
  6. Step 6: Final answer
    x = 5,038.37

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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.