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Finding the Fourth Proportional to 5,012.38, 7,516.38 and 2,380.64

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Solution

The fourth proportional to 5,012.38, 7,516.38 and 2,380.64 is: 3,569.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,012.38 : 7,516.38 = 2,380.64 : x
  2. Step 2: Convert to fraction form
    5,012.38/7,516.38 = 2,380.64/x
  3. Step 3: Cross multiply
    5,012.38x = 7,516.38 × 2,380.64
  4. Step 4: Simplify right side
    5,012.38x = 17,893,794.88
  5. Step 5: Solve for x
    x = 17,893,794.88/5,012.38
  6. Step 6: Final answer
    x = 3,569.92

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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.