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Finding the Fourth Proportional to 3,419.87, 5,127.07 and 1,339.49

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Solution

The fourth proportional to 3,419.87, 5,127.07 and 1,339.49 is: 2,008.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.87 : 5,127.07 = 1,339.49 : x
  2. Step 2: Convert to fraction form
    3,419.87/5,127.07 = 1,339.49/x
  3. Step 3: Cross multiply
    3,419.87x = 5,127.07 × 1,339.49
  4. Step 4: Simplify right side
    3,419.87x = 6,867,645.90
  5. Step 5: Solve for x
    x = 6,867,645.90/3,419.87
  6. Step 6: Final answer
    x = 2,008.16

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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.