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Finding the Fourth Proportional to 3,689.86, 5,535.60 and 1,741

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Solution

The fourth proportional to 3,689.86, 5,535.60 and 1,741 is: 2,611.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.86 : 5,535.60 = 1,741 : x
  2. Step 2: Convert to fraction form
    3,689.86/5,535.60 = 1,741/x
  3. Step 3: Cross multiply
    3,689.86x = 5,535.60 × 1,741
  4. Step 4: Simplify right side
    3,689.86x = 9,637,479.60
  5. Step 5: Solve for x
    x = 9,637,479.60/3,689.86
  6. Step 6: Final answer
    x = 2,611.88

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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.