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Finding the Fourth Proportional to 4,085.95, 6,129.78 and 1,274.71

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Solution

The fourth proportional to 4,085.95, 6,129.78 and 1,274.71 is: 1,912.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,085.95 : 6,129.78 = 1,274.71 : x
  2. Step 2: Convert to fraction form
    4,085.95/6,129.78 = 1,274.71/x
  3. Step 3: Cross multiply
    4,085.95x = 6,129.78 × 1,274.71
  4. Step 4: Simplify right side
    4,085.95x = 7,813,691.86
  5. Step 5: Solve for x
    x = 7,813,691.86/4,085.95
  6. Step 6: Final answer
    x = 1,912.33

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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.