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Finding the Fourth Proportional to 3,439.28, 5,158.71 and 974.45

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Solution

The fourth proportional to 3,439.28, 5,158.71 and 974.45 is: 1,461.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.28 : 5,158.71 = 974.45 : x
  2. Step 2: Convert to fraction form
    3,439.28/5,158.71 = 974.45/x
  3. Step 3: Cross multiply
    3,439.28x = 5,158.71 × 974.45
  4. Step 4: Simplify right side
    3,439.28x = 5,026,879.17
  5. Step 5: Solve for x
    x = 5,026,879.17/3,439.28
  6. Step 6: Final answer
    x = 1,461.61

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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.