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Finding the Fourth Proportional to 5,729.40, 8,589.15 and 5,564.16

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Solution

The fourth proportional to 5,729.40, 8,589.15 and 5,564.16 is: 8,341.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.40 : 8,589.15 = 5,564.16 : x
  2. Step 2: Convert to fraction form
    5,729.40/8,589.15 = 5,564.16/x
  3. Step 3: Cross multiply
    5,729.40x = 8,589.15 × 5,564.16
  4. Step 4: Simplify right side
    5,729.40x = 47,791,404.86
  5. Step 5: Solve for x
    x = 47,791,404.86/5,729.40
  6. Step 6: Final answer
    x = 8,341.43

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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.