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Finding the Fourth Proportional to 4,170.49, 5,755.15 and 2,353.66

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Solution

The fourth proportional to 4,170.49, 5,755.15 and 2,353.66 is: 3,247.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.49 : 5,755.15 = 2,353.66 : x
  2. Step 2: Convert to fraction form
    4,170.49/5,755.15 = 2,353.66/x
  3. Step 3: Cross multiply
    4,170.49x = 5,755.15 × 2,353.66
  4. Step 4: Simplify right side
    4,170.49x = 13,545,654.90
  5. Step 5: Solve for x
    x = 13,545,654.90/4,170.49
  6. Step 6: Final answer
    x = 3,247.98

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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.