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Finding the Fourth Proportional to 5,626.96, 8,442.41 and 2,507.24

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Solution

The fourth proportional to 5,626.96, 8,442.41 and 2,507.24 is: 3,761.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.96 : 8,442.41 = 2,507.24 : x
  2. Step 2: Convert to fraction form
    5,626.96/8,442.41 = 2,507.24/x
  3. Step 3: Cross multiply
    5,626.96x = 8,442.41 × 2,507.24
  4. Step 4: Simplify right side
    5,626.96x = 21,167,156.62
  5. Step 5: Solve for x
    x = 21,167,156.62/5,626.96
  6. Step 6: Final answer
    x = 3,761.74

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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.