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Finding the Fourth Proportional to 4,117.30, 6,171.90 and 3,679.90

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Solution

The fourth proportional to 4,117.30, 6,171.90 and 3,679.90 is: 5,516.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117.30 : 6,171.90 = 3,679.90 : x
  2. Step 2: Convert to fraction form
    4,117.30/6,171.90 = 3,679.90/x
  3. Step 3: Cross multiply
    4,117.30x = 6,171.90 × 3,679.90
  4. Step 4: Simplify right side
    4,117.30x = 22,711,974.81
  5. Step 5: Solve for x
    x = 22,711,974.81/4,117.30
  6. Step 6: Final answer
    x = 5,516.23

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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.