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Finding the Fourth Proportional to 5,618.38, 8,429.04 and 5,006.38

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Solution

The fourth proportional to 5,618.38, 8,429.04 and 5,006.38 is: 7,510.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,618.38 : 8,429.04 = 5,006.38 : x
  2. Step 2: Convert to fraction form
    5,618.38/8,429.04 = 5,006.38/x
  3. Step 3: Cross multiply
    5,618.38x = 8,429.04 × 5,006.38
  4. Step 4: Simplify right side
    5,618.38x = 42,198,977.28
  5. Step 5: Solve for x
    x = 42,198,977.28/5,618.38
  6. Step 6: Final answer
    x = 7,510.88

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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.