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Finding the Fourth Proportional to 5,704.47, 8,559.42 and 3,952.17

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Solution

The fourth proportional to 5,704.47, 8,559.42 and 3,952.17 is: 5,930.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.47 : 8,559.42 = 3,952.17 : x
  2. Step 2: Convert to fraction form
    5,704.47/8,559.42 = 3,952.17/x
  3. Step 3: Cross multiply
    5,704.47x = 8,559.42 × 3,952.17
  4. Step 4: Simplify right side
    5,704.47x = 33,828,282.94
  5. Step 5: Solve for x
    x = 33,828,282.94/5,704.47
  6. Step 6: Final answer
    x = 5,930.14

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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.