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Finding the Fourth Proportional to 5,338.92, 8,008.32 and 2,415.20

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Solution

The fourth proportional to 5,338.92, 8,008.32 and 2,415.20 is: 3,622.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.92 : 8,008.32 = 2,415.20 : x
  2. Step 2: Convert to fraction form
    5,338.92/8,008.32 = 2,415.20/x
  3. Step 3: Cross multiply
    5,338.92x = 8,008.32 × 2,415.20
  4. Step 4: Simplify right side
    5,338.92x = 19,341,694.46
  5. Step 5: Solve for x
    x = 19,341,694.46/5,338.92
  6. Step 6: Final answer
    x = 3,622.77

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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.