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Finding the Fourth Proportional to 3,841.84, 5,289.37 and 2,660.86

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Solution

The fourth proportional to 3,841.84, 5,289.37 and 2,660.86 is: 3,663.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.84 : 5,289.37 = 2,660.86 : x
  2. Step 2: Convert to fraction form
    3,841.84/5,289.37 = 2,660.86/x
  3. Step 3: Cross multiply
    3,841.84x = 5,289.37 × 2,660.86
  4. Step 4: Simplify right side
    3,841.84x = 14,074,273.06
  5. Step 5: Solve for x
    x = 14,074,273.06/3,841.84
  6. Step 6: Final answer
    x = 3,663.42

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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.