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Finding the Fourth Proportional to 5,706.60, 8,559.90 and 4,151.40

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Solution

The fourth proportional to 5,706.60, 8,559.90 and 4,151.40 is: 6,227.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.60 : 8,559.90 = 4,151.40 : x
  2. Step 2: Convert to fraction form
    5,706.60/8,559.90 = 4,151.40/x
  3. Step 3: Cross multiply
    5,706.60x = 8,559.90 × 4,151.40
  4. Step 4: Simplify right side
    5,706.60x = 35,535,568.86
  5. Step 5: Solve for x
    x = 35,535,568.86/5,706.60
  6. Step 6: Final answer
    x = 6,227.10

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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.