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Finding the Fourth Proportional to 5,640.32, 8,455.92 and 2,355.87

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Solution

The fourth proportional to 5,640.32, 8,455.92 and 2,355.87 is: 3,531.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.32 : 8,455.92 = 2,355.87 : x
  2. Step 2: Convert to fraction form
    5,640.32/8,455.92 = 2,355.87/x
  3. Step 3: Cross multiply
    5,640.32x = 8,455.92 × 2,355.87
  4. Step 4: Simplify right side
    5,640.32x = 19,921,048.25
  5. Step 5: Solve for x
    x = 19,921,048.25/5,640.32
  6. Step 6: Final answer
    x = 3,531.90

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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.