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Finding the Fourth Proportional to 4,113.87, 6,171.44 and 1,516.62

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Solution

The fourth proportional to 4,113.87, 6,171.44 and 1,516.62 is: 2,275.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.87 : 6,171.44 = 1,516.62 : x
  2. Step 2: Convert to fraction form
    4,113.87/6,171.44 = 1,516.62/x
  3. Step 3: Cross multiply
    4,113.87x = 6,171.44 × 1,516.62
  4. Step 4: Simplify right side
    4,113.87x = 9,359,721.75
  5. Step 5: Solve for x
    x = 9,359,721.75/4,113.87
  6. Step 6: Final answer
    x = 2,275.16

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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.