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Finding the Fourth Proportional to 4,170.97, 5,755.89 and 2,402.74

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Solution

The fourth proportional to 4,170.97, 5,755.89 and 2,402.74 is: 3,315.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.97 : 5,755.89 = 2,402.74 : x
  2. Step 2: Convert to fraction form
    4,170.97/5,755.89 = 2,402.74/x
  3. Step 3: Cross multiply
    4,170.97x = 5,755.89 × 2,402.74
  4. Step 4: Simplify right side
    4,170.97x = 13,829,907.14
  5. Step 5: Solve for x
    x = 13,829,907.14/4,170.97
  6. Step 6: Final answer
    x = 3,315.75

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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.