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Finding the Fourth Proportional to 5,170.24, 7,759.32 and 2,575.36

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Solution

The fourth proportional to 5,170.24, 7,759.32 and 2,575.36 is: 3,865.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.24 : 7,759.32 = 2,575.36 : x
  2. Step 2: Convert to fraction form
    5,170.24/7,759.32 = 2,575.36/x
  3. Step 3: Cross multiply
    5,170.24x = 7,759.32 × 2,575.36
  4. Step 4: Simplify right side
    5,170.24x = 19,983,042.36
  5. Step 5: Solve for x
    x = 19,983,042.36/5,170.24
  6. Step 6: Final answer
    x = 3,865.01

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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.