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Finding the Fourth Proportional to 4,346.62, 6,523.17 and 2,039.74

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Solution

The fourth proportional to 4,346.62, 6,523.17 and 2,039.74 is: 3,061.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,346.62 : 6,523.17 = 2,039.74 : x
  2. Step 2: Convert to fraction form
    4,346.62/6,523.17 = 2,039.74/x
  3. Step 3: Cross multiply
    4,346.62x = 6,523.17 × 2,039.74
  4. Step 4: Simplify right side
    4,346.62x = 13,305,570.78
  5. Step 5: Solve for x
    x = 13,305,570.78/4,346.62
  6. Step 6: Final answer
    x = 3,061.13

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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.