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Finding the Fourth Proportional to 5,170.72, 7,697.60 and 5,139.97

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Solution

The fourth proportional to 5,170.72, 7,697.60 and 5,139.97 is: 7,651.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.72 : 7,697.60 = 5,139.97 : x
  2. Step 2: Convert to fraction form
    5,170.72/7,697.60 = 5,139.97/x
  3. Step 3: Cross multiply
    5,170.72x = 7,697.60 × 5,139.97
  4. Step 4: Simplify right side
    5,170.72x = 39,565,407.40
  5. Step 5: Solve for x
    x = 39,565,407.40/5,170.72
  6. Step 6: Final answer
    x = 7,651.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.