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Finding the Fourth Proportional to 5,749.64, 8,618.14 and 3,279.04

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Solution

The fourth proportional to 5,749.64, 8,618.14 and 3,279.04 is: 4,914.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749.64 : 8,618.14 = 3,279.04 : x
  2. Step 2: Convert to fraction form
    5,749.64/8,618.14 = 3,279.04/x
  3. Step 3: Cross multiply
    5,749.64x = 8,618.14 × 3,279.04
  4. Step 4: Simplify right side
    5,749.64x = 28,259,225.79
  5. Step 5: Solve for x
    x = 28,259,225.79/5,749.64
  6. Step 6: Final answer
    x = 4,914.96

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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.