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Finding the Fourth Proportional to 5,743.60, 8,618.04 and 3,408.24

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Solution

The fourth proportional to 5,743.60, 8,618.04 and 3,408.24 is: 5,113.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.60 : 8,618.04 = 3,408.24 : x
  2. Step 2: Convert to fraction form
    5,743.60/8,618.04 = 3,408.24/x
  3. Step 3: Cross multiply
    5,743.60x = 8,618.04 × 3,408.24
  4. Step 4: Simplify right side
    5,743.60x = 29,372,348.65
  5. Step 5: Solve for x
    x = 29,372,348.65/5,743.60
  6. Step 6: Final answer
    x = 5,113.93

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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.