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Finding the Fourth Proportional to 3,414.86, 5,124.18 and 1,334.99

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Solution

The fourth proportional to 3,414.86, 5,124.18 and 1,334.99 is: 2,003.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.86 : 5,124.18 = 1,334.99 : x
  2. Step 2: Convert to fraction form
    3,414.86/5,124.18 = 1,334.99/x
  3. Step 3: Cross multiply
    3,414.86x = 5,124.18 × 1,334.99
  4. Step 4: Simplify right side
    3,414.86x = 6,840,703.44
  5. Step 5: Solve for x
    x = 6,840,703.44/3,414.86
  6. Step 6: Final answer
    x = 2,003.22

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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.