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Finding the Fourth Proportional to 3,439.97, 4,747.06 and 1,948.03

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Solution

The fourth proportional to 3,439.97, 4,747.06 and 1,948.03 is: 2,688.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.97 : 4,747.06 = 1,948.03 : x
  2. Step 2: Convert to fraction form
    3,439.97/4,747.06 = 1,948.03/x
  3. Step 3: Cross multiply
    3,439.97x = 4,747.06 × 1,948.03
  4. Step 4: Simplify right side
    3,439.97x = 9,247,381.82
  5. Step 5: Solve for x
    x = 9,247,381.82/3,439.97
  6. Step 6: Final answer
    x = 2,688.22

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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.