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Finding the Fourth Proportional to 5,643.16, 8,458.14 and 3,452.92

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Solution

The fourth proportional to 5,643.16, 8,458.14 and 3,452.92 is: 5,175.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.16 : 8,458.14 = 3,452.92 : x
  2. Step 2: Convert to fraction form
    5,643.16/8,458.14 = 3,452.92/x
  3. Step 3: Cross multiply
    5,643.16x = 8,458.14 × 3,452.92
  4. Step 4: Simplify right side
    5,643.16x = 29,205,280.77
  5. Step 5: Solve for x
    x = 29,205,280.77/5,643.16
  6. Step 6: Final answer
    x = 5,175.34

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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.