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Finding the Fourth Proportional to 3,748.26, 5,170.60 and 3,040.93

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Solution

The fourth proportional to 3,748.26, 5,170.60 and 3,040.93 is: 4,194.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.26 : 5,170.60 = 3,040.93 : x
  2. Step 2: Convert to fraction form
    3,748.26/5,170.60 = 3,040.93/x
  3. Step 3: Cross multiply
    3,748.26x = 5,170.60 × 3,040.93
  4. Step 4: Simplify right side
    3,748.26x = 15,723,432.66
  5. Step 5: Solve for x
    x = 15,723,432.66/3,748.26
  6. Step 6: Final answer
    x = 4,194.86

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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.