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Finding the Fourth Proportional to 5,099.67, 7,648.29 and 1,402.11

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Solution

The fourth proportional to 5,099.67, 7,648.29 and 1,402.11 is: 2,102.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.67 : 7,648.29 = 1,402.11 : x
  2. Step 2: Convert to fraction form
    5,099.67/7,648.29 = 1,402.11/x
  3. Step 3: Cross multiply
    5,099.67x = 7,648.29 × 1,402.11
  4. Step 4: Simplify right side
    5,099.67x = 10,723,743.89
  5. Step 5: Solve for x
    x = 10,723,743.89/5,099.67
  6. Step 6: Final answer
    x = 2,102.83

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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.