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Finding the Fourth Proportional to 3,414.42, 4,713.70 and 2,301.20

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Solution

The fourth proportional to 3,414.42, 4,713.70 and 2,301.20 is: 3,176.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.42 : 4,713.70 = 2,301.20 : x
  2. Step 2: Convert to fraction form
    3,414.42/4,713.70 = 2,301.20/x
  3. Step 3: Cross multiply
    3,414.42x = 4,713.70 × 2,301.20
  4. Step 4: Simplify right side
    3,414.42x = 10,847,166.44
  5. Step 5: Solve for x
    x = 10,847,166.44/3,414.42
  6. Step 6: Final answer
    x = 3,176.87

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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.