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Finding the Fourth Proportional to 5,702.08, 8,553.71 and 1,542.11

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Solution

The fourth proportional to 5,702.08, 8,553.71 and 1,542.11 is: 2,313.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.08 : 8,553.71 = 1,542.11 : x
  2. Step 2: Convert to fraction form
    5,702.08/8,553.71 = 1,542.11/x
  3. Step 3: Cross multiply
    5,702.08x = 8,553.71 × 1,542.11
  4. Step 4: Simplify right side
    5,702.08x = 13,190,761.73
  5. Step 5: Solve for x
    x = 13,190,761.73/5,702.08
  6. Step 6: Final answer
    x = 2,313.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.