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Finding the Fourth Proportional to 3,414.47, 5,121.77 and 1,334.39

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Solution

The fourth proportional to 3,414.47, 5,121.77 and 1,334.39 is: 2,001.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.47 : 5,121.77 = 1,334.39 : x
  2. Step 2: Convert to fraction form
    3,414.47/5,121.77 = 1,334.39/x
  3. Step 3: Cross multiply
    3,414.47x = 5,121.77 × 1,334.39
  4. Step 4: Simplify right side
    3,414.47x = 6,834,406.39
  5. Step 5: Solve for x
    x = 6,834,406.39/3,414.47
  6. Step 6: Final answer
    x = 2,001.60

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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.