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Finding the Fourth Proportional to 3,477.79, 5,218.26 and 1,286.20

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Solution

The fourth proportional to 3,477.79, 5,218.26 and 1,286.20 is: 1,929.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.79 : 5,218.26 = 1,286.20 : x
  2. Step 2: Convert to fraction form
    3,477.79/5,218.26 = 1,286.20/x
  3. Step 3: Cross multiply
    3,477.79x = 5,218.26 × 1,286.20
  4. Step 4: Simplify right side
    3,477.79x = 6,711,726.01
  5. Step 5: Solve for x
    x = 6,711,726.01/3,477.79
  6. Step 6: Final answer
    x = 1,929.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.