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Finding the Fourth Proportional to 3,439.71, 4,747.00 and 1,947.76

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Solution

The fourth proportional to 3,439.71, 4,747.00 and 1,947.76 is: 2,688.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.71 : 4,747.00 = 1,947.76 : x
  2. Step 2: Convert to fraction form
    3,439.71/4,747.00 = 1,947.76/x
  3. Step 3: Cross multiply
    3,439.71x = 4,747.00 × 1,947.76
  4. Step 4: Simplify right side
    3,439.71x = 9,245,999.98
  5. Step 5: Solve for x
    x = 9,245,999.98/3,439.71
  6. Step 6: Final answer
    x = 2,688.02

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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.