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Finding the Fourth Proportional to 4,169.97, 5,755.32 and 2,402.64

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Solution

The fourth proportional to 4,169.97, 5,755.32 and 2,402.64 is: 3,316.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.97 : 5,755.32 = 2,402.64 : x
  2. Step 2: Convert to fraction form
    4,169.97/5,755.32 = 2,402.64/x
  3. Step 3: Cross multiply
    4,169.97x = 5,755.32 × 2,402.64
  4. Step 4: Simplify right side
    4,169.97x = 13,827,962.04
  5. Step 5: Solve for x
    x = 13,827,962.04/4,169.97
  6. Step 6: Final answer
    x = 3,316.08

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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.