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Finding the Fourth Proportional to 4,344.19, 6,508.95 and 1,744.09

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Solution

The fourth proportional to 4,344.19, 6,508.95 and 1,744.09 is: 2,613.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,344.19 : 6,508.95 = 1,744.09 : x
  2. Step 2: Convert to fraction form
    4,344.19/6,508.95 = 1,744.09/x
  3. Step 3: Cross multiply
    4,344.19x = 6,508.95 × 1,744.09
  4. Step 4: Simplify right side
    4,344.19x = 11,352,194.61
  5. Step 5: Solve for x
    x = 11,352,194.61/4,344.19
  6. Step 6: Final answer
    x = 2,613.19

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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.