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Finding the Fourth Proportional to 3,414.29, 4,713.03 and 2,298.41

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Solution

The fourth proportional to 3,414.29, 4,713.03 and 2,298.41 is: 3,172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.29 : 4,713.03 = 2,298.41 : x
  2. Step 2: Convert to fraction form
    3,414.29/4,713.03 = 2,298.41/x
  3. Step 3: Cross multiply
    3,414.29x = 4,713.03 × 2,298.41
  4. Step 4: Simplify right side
    3,414.29x = 10,832,451.72
  5. Step 5: Solve for x
    x = 10,832,451.72/3,414.29
  6. Step 6: Final answer
    x = 3,172.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.