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Finding the Fourth Proportional to 4,446.40, 6,135.04 and 3,741

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Solution

The fourth proportional to 4,446.40, 6,135.04 and 3,741 is: 5,161.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,446.40 : 6,135.04 = 3,741 : x
  2. Step 2: Convert to fraction form
    4,446.40/6,135.04 = 3,741/x
  3. Step 3: Cross multiply
    4,446.40x = 6,135.04 × 3,741
  4. Step 4: Simplify right side
    4,446.40x = 22,951,184.64
  5. Step 5: Solve for x
    x = 22,951,184.64/4,446.40
  6. Step 6: Final answer
    x = 5,161.75

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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.