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Finding the Fourth Proportional to 4,084.68, 6,129.18 and 2,991

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Solution

The fourth proportional to 4,084.68, 6,129.18 and 2,991 is: 4,488.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,084.68 : 6,129.18 = 2,991 : x
  2. Step 2: Convert to fraction form
    4,084.68/6,129.18 = 2,991/x
  3. Step 3: Cross multiply
    4,084.68x = 6,129.18 × 2,991
  4. Step 4: Simplify right side
    4,084.68x = 18,332,377.38
  5. Step 5: Solve for x
    x = 18,332,377.38/4,084.68
  6. Step 6: Final answer
    x = 4,488.08

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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.