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Finding the Fourth Proportional to 4,156.89, 5,736.48 and 2,293.89

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Solution

The fourth proportional to 4,156.89, 5,736.48 and 2,293.89 is: 3,165.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.89 : 5,736.48 = 2,293.89 : x
  2. Step 2: Convert to fraction form
    4,156.89/5,736.48 = 2,293.89/x
  3. Step 3: Cross multiply
    4,156.89x = 5,736.48 × 2,293.89
  4. Step 4: Simplify right side
    4,156.89x = 13,158,854.11
  5. Step 5: Solve for x
    x = 13,158,854.11/4,156.89
  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.