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Finding the Fourth Proportional to 5,681.42, 8,524.17 and 2,909.39

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Solution

The fourth proportional to 5,681.42, 8,524.17 and 2,909.39 is: 4,365.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.42 : 8,524.17 = 2,909.39 : x
  2. Step 2: Convert to fraction form
    5,681.42/8,524.17 = 2,909.39/x
  3. Step 3: Cross multiply
    5,681.42x = 8,524.17 × 2,909.39
  4. Step 4: Simplify right side
    5,681.42x = 24,800,176.53
  5. Step 5: Solve for x
    x = 24,800,176.53/5,681.42
  6. Step 6: Final answer
    x = 4,365.14

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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.