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Finding the Fourth Proportional to 3,140.57, 4,711.62 and 2,217.93

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Solution

The fourth proportional to 3,140.57, 4,711.62 and 2,217.93 is: 3,327.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.57 : 4,711.62 = 2,217.93 : x
  2. Step 2: Convert to fraction form
    3,140.57/4,711.62 = 2,217.93/x
  3. Step 3: Cross multiply
    3,140.57x = 4,711.62 × 2,217.93
  4. Step 4: Simplify right side
    3,140.57x = 10,450,048.02
  5. Step 5: Solve for x
    x = 10,450,048.02/3,140.57
  6. Step 6: Final answer
    x = 3,327.43

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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.