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Finding the Fourth Proportional to 3,207.29, 4,424.83 and 1,947.89

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Solution

The fourth proportional to 3,207.29, 4,424.83 and 1,947.89 is: 2,687.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.29 : 4,424.83 = 1,947.89 : x
  2. Step 2: Convert to fraction form
    3,207.29/4,424.83 = 1,947.89/x
  3. Step 3: Cross multiply
    3,207.29x = 4,424.83 × 1,947.89
  4. Step 4: Simplify right side
    3,207.29x = 8,619,088.30
  5. Step 5: Solve for x
    x = 8,619,088.30/3,207.29
  6. Step 6: Final answer
    x = 2,687.35

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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.