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Finding the Fourth Proportional to 3,702.62, 5,553.86 and 929.28

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Solution

The fourth proportional to 3,702.62, 5,553.86 and 929.28 is: 1,393.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.62 : 5,553.86 = 929.28 : x
  2. Step 2: Convert to fraction form
    3,702.62/5,553.86 = 929.28/x
  3. Step 3: Cross multiply
    3,702.62x = 5,553.86 × 929.28
  4. Step 4: Simplify right side
    3,702.62x = 5,161,091.02
  5. Step 5: Solve for x
    x = 5,161,091.02/3,702.62
  6. Step 6: Final answer
    x = 1,393.90

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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.