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Finding the Fourth Proportional to 3,859.84, 5,324.80 and 2,286.72

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Solution

The fourth proportional to 3,859.84, 5,324.80 and 2,286.72 is: 3,154.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.84 : 5,324.80 = 2,286.72 : x
  2. Step 2: Convert to fraction form
    3,859.84/5,324.80 = 2,286.72/x
  3. Step 3: Cross multiply
    3,859.84x = 5,324.80 × 2,286.72
  4. Step 4: Simplify right side
    3,859.84x = 12,176,326.66
  5. Step 5: Solve for x
    x = 12,176,326.66/3,859.84
  6. Step 6: Final answer
    x = 3,154.62

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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.