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Finding the Fourth Proportional to 4,165.76, 5,747.04 and 2,396.96

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Solution

The fourth proportional to 4,165.76, 5,747.04 and 2,396.96 is: 3,306.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.76 : 5,747.04 = 2,396.96 : x
  2. Step 2: Convert to fraction form
    4,165.76/5,747.04 = 2,396.96/x
  3. Step 3: Cross multiply
    4,165.76x = 5,747.04 × 2,396.96
  4. Step 4: Simplify right side
    4,165.76x = 13,775,425.00
  5. Step 5: Solve for x
    x = 13,775,425.00/4,165.76
  6. Step 6: Final answer
    x = 3,306.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.