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Finding the Fourth Proportional to 5,748.42, 8,614.65 and 2,620.78

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Solution

The fourth proportional to 5,748.42, 8,614.65 and 2,620.78 is: 3,927.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.42 : 8,614.65 = 2,620.78 : x
  2. Step 2: Convert to fraction form
    5,748.42/8,614.65 = 2,620.78/x
  3. Step 3: Cross multiply
    5,748.42x = 8,614.65 × 2,620.78
  4. Step 4: Simplify right side
    5,748.42x = 22,577,102.43
  5. Step 5: Solve for x
    x = 22,577,102.43/5,748.42
  6. Step 6: Final answer
    x = 3,927.53

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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.