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Finding the Fourth Proportional to 3,842.74, 5,295.27 and 2,661.76

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Solution

The fourth proportional to 3,842.74, 5,295.27 and 2,661.76 is: 3,667.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.74 : 5,295.27 = 2,661.76 : x
  2. Step 2: Convert to fraction form
    3,842.74/5,295.27 = 2,661.76/x
  3. Step 3: Cross multiply
    3,842.74x = 5,295.27 × 2,661.76
  4. Step 4: Simplify right side
    3,842.74x = 14,094,754.48
  5. Step 5: Solve for x
    x = 14,094,754.48/3,842.74
  6. Step 6: Final answer
    x = 3,667.89

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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.