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Finding the Fourth Proportional to 5,712.64, 8,553.92 and 4,596.11

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Solution

The fourth proportional to 5,712.64, 8,553.92 and 4,596.11 is: 6,882.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.64 : 8,553.92 = 4,596.11 : x
  2. Step 2: Convert to fraction form
    5,712.64/8,553.92 = 4,596.11/x
  3. Step 3: Cross multiply
    5,712.64x = 8,553.92 × 4,596.11
  4. Step 4: Simplify right side
    5,712.64x = 39,314,723.58
  5. Step 5: Solve for x
    x = 39,314,723.58/5,712.64
  6. Step 6: Final answer
    x = 6,882.06

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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.