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Finding the Fourth Proportional to 5,845.68, 8,064.12 and 3,748.24

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Solution

The fourth proportional to 5,845.68, 8,064.12 and 3,748.24 is: 5,170.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,845.68 : 8,064.12 = 3,748.24 : x
  2. Step 2: Convert to fraction form
    5,845.68/8,064.12 = 3,748.24/x
  3. Step 3: Cross multiply
    5,845.68x = 8,064.12 × 3,748.24
  4. Step 4: Simplify right side
    5,845.68x = 30,226,257.15
  5. Step 5: Solve for x
    x = 30,226,257.15/5,845.68
  6. Step 6: Final answer
    x = 5,170.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.