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Finding the Fourth Proportional to 3,251.62, 4,870.14 and 3,142.27

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Solution

The fourth proportional to 3,251.62, 4,870.14 and 3,142.27 is: 4,706.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251.62 : 4,870.14 = 3,142.27 : x
  2. Step 2: Convert to fraction form
    3,251.62/4,870.14 = 3,142.27/x
  3. Step 3: Cross multiply
    3,251.62x = 4,870.14 × 3,142.27
  4. Step 4: Simplify right side
    3,251.62x = 15,303,294.82
  5. Step 5: Solve for x
    x = 15,303,294.82/3,251.62
  6. Step 6: Final answer
    x = 4,706.36

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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.