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Finding the Fourth Proportional to 3,125.58, 4,685.49 and 1,586.22

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Solution

The fourth proportional to 3,125.58, 4,685.49 and 1,586.22 is: 2,377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,125.58 : 4,685.49 = 1,586.22 : x
  2. Step 2: Convert to fraction form
    3,125.58/4,685.49 = 1,586.22/x
  3. Step 3: Cross multiply
    3,125.58x = 4,685.49 × 1,586.22
  4. Step 4: Simplify right side
    3,125.58x = 7,432,217.95
  5. Step 5: Solve for x
    x = 7,432,217.95/3,125.58
  6. Step 6: Final answer
    x = 2,377.87

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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.