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Finding the Fourth Proportional to 4,430.57, 6,638.05 and 3,947.91

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Solution

The fourth proportional to 4,430.57, 6,638.05 and 3,947.91 is: 5,914.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,430.57 : 6,638.05 = 3,947.91 : x
  2. Step 2: Convert to fraction form
    4,430.57/6,638.05 = 3,947.91/x
  3. Step 3: Cross multiply
    4,430.57x = 6,638.05 × 3,947.91
  4. Step 4: Simplify right side
    4,430.57x = 26,206,414.11
  5. Step 5: Solve for x
    x = 26,206,414.11/4,430.57
  6. Step 6: Final answer
    x = 5,914.91

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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.