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Finding the Fourth Proportional to 3,414.34, 5,114.60 and 1,562.91

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Solution

The fourth proportional to 3,414.34, 5,114.60 and 1,562.91 is: 2,341.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.34 : 5,114.60 = 1,562.91 : x
  2. Step 2: Convert to fraction form
    3,414.34/5,114.60 = 1,562.91/x
  3. Step 3: Cross multiply
    3,414.34x = 5,114.60 × 1,562.91
  4. Step 4: Simplify right side
    3,414.34x = 7,993,659.49
  5. Step 5: Solve for x
    x = 7,993,659.49/3,414.34
  6. Step 6: Final answer
    x = 2,341.20

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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.