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Finding the Fourth Proportional to 3,977.79, 5,489.47 and 2,209.51

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Solution

The fourth proportional to 3,977.79, 5,489.47 and 2,209.51 is: 3,049.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.79 : 5,489.47 = 2,209.51 : x
  2. Step 2: Convert to fraction form
    3,977.79/5,489.47 = 2,209.51/x
  3. Step 3: Cross multiply
    3,977.79x = 5,489.47 × 2,209.51
  4. Step 4: Simplify right side
    3,977.79x = 12,129,036.05
  5. Step 5: Solve for x
    x = 12,129,036.05/3,977.79
  6. Step 6: Final answer
    x = 3,049.19

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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.