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Finding the Fourth Proportional to 5,417.62, 7,471.31 and 4,158.73

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Solution

The fourth proportional to 5,417.62, 7,471.31 and 4,158.73 is: 5,735.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,417.62 : 7,471.31 = 4,158.73 : x
  2. Step 2: Convert to fraction form
    5,417.62/7,471.31 = 4,158.73/x
  3. Step 3: Cross multiply
    5,417.62x = 7,471.31 × 4,158.73
  4. Step 4: Simplify right side
    5,417.62x = 31,071,141.46
  5. Step 5: Solve for x
    x = 31,071,141.46/5,417.62
  6. Step 6: Final answer
    x = 5,735.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.