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Finding the Fourth Proportional to 3,462.68, 5,193.25 and 1,612.04

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Solution

The fourth proportional to 3,462.68, 5,193.25 and 1,612.04 is: 2,417.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.68 : 5,193.25 = 1,612.04 : x
  2. Step 2: Convert to fraction form
    3,462.68/5,193.25 = 1,612.04/x
  3. Step 3: Cross multiply
    3,462.68x = 5,193.25 × 1,612.04
  4. Step 4: Simplify right side
    3,462.68x = 8,371,696.73
  5. Step 5: Solve for x
    x = 8,371,696.73/3,462.68
  6. Step 6: Final answer
    x = 2,417.69

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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.