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Finding the Fourth Proportional to 5,170.76, 7,759.32 and 2,050.24

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Solution

The fourth proportional to 5,170.76, 7,759.32 and 2,050.24 is: 3,076.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.76 : 7,759.32 = 2,050.24 : x
  2. Step 2: Convert to fraction form
    5,170.76/7,759.32 = 2,050.24/x
  3. Step 3: Cross multiply
    5,170.76x = 7,759.32 × 2,050.24
  4. Step 4: Simplify right side
    5,170.76x = 15,908,468.24
  5. Step 5: Solve for x
    x = 15,908,468.24/5,170.76
  6. Step 6: Final answer
    x = 3,076.62

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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.