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Finding the Fourth Proportional to 5,099.32, 7,648.07 and 3,244.93

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Solution

The fourth proportional to 5,099.32, 7,648.07 and 3,244.93 is: 4,866.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.32 : 7,648.07 = 3,244.93 : x
  2. Step 2: Convert to fraction form
    5,099.32/7,648.07 = 3,244.93/x
  3. Step 3: Cross multiply
    5,099.32x = 7,648.07 × 3,244.93
  4. Step 4: Simplify right side
    5,099.32x = 24,817,451.79
  5. Step 5: Solve for x
    x = 24,817,451.79/5,099.32
  6. Step 6: Final answer
    x = 4,866.82

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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.