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Finding the Fourth Proportional to 3,585.93, 5,380.19 and 1,611.41

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Solution

The fourth proportional to 3,585.93, 5,380.19 and 1,611.41 is: 2,417.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.93 : 5,380.19 = 1,611.41 : x
  2. Step 2: Convert to fraction form
    3,585.93/5,380.19 = 1,611.41/x
  3. Step 3: Cross multiply
    3,585.93x = 5,380.19 × 1,611.41
  4. Step 4: Simplify right side
    3,585.93x = 8,669,691.97
  5. Step 5: Solve for x
    x = 8,669,691.97/3,585.93
  6. Step 6: Final answer
    x = 2,417.70

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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.