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Finding the Fourth Proportional to 5,338.17, 8,007.12 and 2,414.34

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Solution

The fourth proportional to 5,338.17, 8,007.12 and 2,414.34 is: 3,621.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.17 : 8,007.12 = 2,414.34 : x
  2. Step 2: Convert to fraction form
    5,338.17/8,007.12 = 2,414.34/x
  3. Step 3: Cross multiply
    5,338.17x = 8,007.12 × 2,414.34
  4. Step 4: Simplify right side
    5,338.17x = 19,331,910.10
  5. Step 5: Solve for x
    x = 19,331,910.10/5,338.17
  6. Step 6: Final answer
    x = 3,621.45

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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.