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Finding the Fourth Proportional to 5,099.33, 7,648.00 and 1,400.61

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Solution

The fourth proportional to 5,099.33, 7,648.00 and 1,400.61 is: 2,100.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.33 : 7,648.00 = 1,400.61 : x
  2. Step 2: Convert to fraction form
    5,099.33/7,648.00 = 1,400.61/x
  3. Step 3: Cross multiply
    5,099.33x = 7,648.00 × 1,400.61
  4. Step 4: Simplify right side
    5,099.33x = 10,711,861.78
  5. Step 5: Solve for x
    x = 10,711,861.78/5,099.33
  6. Step 6: Final answer
    x = 2,100.64

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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.