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Finding the Fourth Proportional to 4,165.88, 5,748.91 and 2,302.88

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Solution

The fourth proportional to 4,165.88, 5,748.91 and 2,302.88 is: 3,177.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.88 : 5,748.91 = 2,302.88 : x
  2. Step 2: Convert to fraction form
    4,165.88/5,748.91 = 2,302.88/x
  3. Step 3: Cross multiply
    4,165.88x = 5,748.91 × 2,302.88
  4. Step 4: Simplify right side
    4,165.88x = 13,239,049.86
  5. Step 5: Solve for x
    x = 13,239,049.86/4,165.88
  6. Step 6: Final answer
    x = 3,177.97

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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.