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Finding the Fourth Proportional to 4,510.86, 6,766.36 and 1,589.20

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Solution

The fourth proportional to 4,510.86, 6,766.36 and 1,589.20 is: 2,383.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,510.86 : 6,766.36 = 1,589.20 : x
  2. Step 2: Convert to fraction form
    4,510.86/6,766.36 = 1,589.20/x
  3. Step 3: Cross multiply
    4,510.86x = 6,766.36 × 1,589.20
  4. Step 4: Simplify right side
    4,510.86x = 10,753,099.31
  5. Step 5: Solve for x
    x = 10,753,099.31/4,510.86
  6. Step 6: Final answer
    x = 2,383.82

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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.