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Finding the Fourth Proportional to 4,156.88, 5,736.49 and 2,293.88

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Solution

The fourth proportional to 4,156.88, 5,736.49 and 2,293.88 is: 3,165.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.88 : 5,736.49 = 2,293.88 : x
  2. Step 2: Convert to fraction form
    4,156.88/5,736.49 = 2,293.88/x
  3. Step 3: Cross multiply
    4,156.88x = 5,736.49 × 2,293.88
  4. Step 4: Simplify right side
    4,156.88x = 13,158,819.68
  5. Step 5: Solve for x
    x = 13,158,819.68/4,156.88
  6. Step 6: Final answer
    x = 3,165.55

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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.