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Finding the Fourth Proportional to 3,410.46, 5,115.98 and 1,462.20

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Solution

The fourth proportional to 3,410.46, 5,115.98 and 1,462.20 is: 2,193.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.46 : 5,115.98 = 1,462.20 : x
  2. Step 2: Convert to fraction form
    3,410.46/5,115.98 = 1,462.20/x
  3. Step 3: Cross multiply
    3,410.46x = 5,115.98 × 1,462.20
  4. Step 4: Simplify right side
    3,410.46x = 7,480,585.96
  5. Step 5: Solve for x
    x = 7,480,585.96/3,410.46
  6. Step 6: Final answer
    x = 2,193.42

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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.