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Finding the Fourth Proportional to 3,470.52, 5,205.24 and 1,278.76

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Solution

The fourth proportional to 3,470.52, 5,205.24 and 1,278.76 is: 1,917.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.52 : 5,205.24 = 1,278.76 : x
  2. Step 2: Convert to fraction form
    3,470.52/5,205.24 = 1,278.76/x
  3. Step 3: Cross multiply
    3,470.52x = 5,205.24 × 1,278.76
  4. Step 4: Simplify right side
    3,470.52x = 6,656,252.70
  5. Step 5: Solve for x
    x = 6,656,252.70/3,470.52
  6. Step 6: Final answer
    x = 1,917.94

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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.