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Finding the Fourth Proportional to 5,717.90, 8,575.20 and 2,596.25

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Solution

The fourth proportional to 5,717.90, 8,575.20 and 2,596.25 is: 3,893.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717.90 : 8,575.20 = 2,596.25 : x
  2. Step 2: Convert to fraction form
    5,717.90/8,575.20 = 2,596.25/x
  3. Step 3: Cross multiply
    5,717.90x = 8,575.20 × 2,596.25
  4. Step 4: Simplify right side
    5,717.90x = 22,263,320.12
  5. Step 5: Solve for x
    x = 22,263,320.12/5,717.90
  6. Step 6: Final answer
    x = 3,893.62

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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.