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Finding the Fourth Proportional to 5,748.54, 8,614.71 and 2,620.86

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Solution

The fourth proportional to 5,748.54, 8,614.71 and 2,620.86 is: 3,927.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.54 : 8,614.71 = 2,620.86 : x
  2. Step 2: Convert to fraction form
    5,748.54/8,614.71 = 2,620.86/x
  3. Step 3: Cross multiply
    5,748.54x = 8,614.71 × 2,620.86
  4. Step 4: Simplify right side
    5,748.54x = 22,577,948.85
  5. Step 5: Solve for x
    x = 22,577,948.85/5,748.54
  6. Step 6: Final answer
    x = 3,927.60

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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.