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Finding the Fourth Proportional to 5,099.53, 7,650.40 and 1,589.47

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Solution

The fourth proportional to 5,099.53, 7,650.40 and 1,589.47 is: 2,384.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.53 : 7,650.40 = 1,589.47 : x
  2. Step 2: Convert to fraction form
    5,099.53/7,650.40 = 1,589.47/x
  3. Step 3: Cross multiply
    5,099.53x = 7,650.40 × 1,589.47
  4. Step 4: Simplify right side
    5,099.53x = 12,160,081.29
  5. Step 5: Solve for x
    x = 12,160,081.29/5,099.53
  6. Step 6: Final answer
    x = 2,384.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.