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Finding the Fourth Proportional to 4,113.46, 6,171.00 and 1,516.42

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Solution

The fourth proportional to 4,113.46, 6,171.00 and 1,516.42 is: 2,274.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.46 : 6,171.00 = 1,516.42 : x
  2. Step 2: Convert to fraction form
    4,113.46/6,171.00 = 1,516.42/x
  3. Step 3: Cross multiply
    4,113.46x = 6,171.00 × 1,516.42
  4. Step 4: Simplify right side
    4,113.46x = 9,357,789.38
  5. Step 5: Solve for x
    x = 9,357,789.38/4,113.46
  6. Step 6: Final answer
    x = 2,274.92

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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.