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Finding the Fourth Proportional to 3,702.54, 5,553.85 and 929.23

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Solution

The fourth proportional to 3,702.54, 5,553.85 and 929.23 is: 1,393.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.54 : 5,553.85 = 929.23 : x
  2. Step 2: Convert to fraction form
    3,702.54/5,553.85 = 929.23/x
  3. Step 3: Cross multiply
    3,702.54x = 5,553.85 × 929.23
  4. Step 4: Simplify right side
    3,702.54x = 5,160,804.04
  5. Step 5: Solve for x
    x = 5,160,804.04/3,702.54
  6. Step 6: Final answer
    x = 1,393.86

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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.