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Finding the Fourth Proportional to 3,411.70, 5,114.85 and 1,462.30

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Solution

The fourth proportional to 3,411.70, 5,114.85 and 1,462.30 is: 2,192.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.70 : 5,114.85 = 1,462.30 : x
  2. Step 2: Convert to fraction form
    3,411.70/5,114.85 = 1,462.30/x
  3. Step 3: Cross multiply
    3,411.70x = 5,114.85 × 1,462.30
  4. Step 4: Simplify right side
    3,411.70x = 7,479,445.16
  5. Step 5: Solve for x
    x = 7,479,445.16/3,411.70
  6. Step 6: Final answer
    x = 2,192.29

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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.