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Finding the Fourth Proportional to 5,149.16, 7,719.42 and 2,069

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Solution

The fourth proportional to 5,149.16, 7,719.42 and 2,069 is: 3,101.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.16 : 7,719.42 = 2,069 : x
  2. Step 2: Convert to fraction form
    5,149.16/7,719.42 = 2,069/x
  3. Step 3: Cross multiply
    5,149.16x = 7,719.42 × 2,069
  4. Step 4: Simplify right side
    5,149.16x = 15,971,479.98
  5. Step 5: Solve for x
    x = 15,971,479.98/5,149.16
  6. Step 6: Final answer
    x = 3,101.76

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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.