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Finding the Fourth Proportional to 5,706.70, 8,561.36 and 2,419.92

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Solution

The fourth proportional to 5,706.70, 8,561.36 and 2,419.92 is: 3,630.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.70 : 8,561.36 = 2,419.92 : x
  2. Step 2: Convert to fraction form
    5,706.70/8,561.36 = 2,419.92/x
  3. Step 3: Cross multiply
    5,706.70x = 8,561.36 × 2,419.92
  4. Step 4: Simplify right side
    5,706.70x = 20,717,806.29
  5. Step 5: Solve for x
    x = 20,717,806.29/5,706.70
  6. Step 6: Final answer
    x = 3,630.44

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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.