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Finding the Fourth Proportional to 3,306.52, 4,561 and 2,187.48

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Solution

The fourth proportional to 3,306.52, 4,561 and 2,187.48 is: 3,017.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306.52 : 4,561 = 2,187.48 : x
  2. Step 2: Convert to fraction form
    3,306.52/4,561 = 2,187.48/x
  3. Step 3: Cross multiply
    3,306.52x = 4,561 × 2,187.48
  4. Step 4: Simplify right side
    3,306.52x = 9,977,096.28
  5. Step 5: Solve for x
    x = 9,977,096.28/3,306.52
  6. Step 6: Final answer
    x = 3,017.40

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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.