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Finding the Fourth Proportional to 3,561, 5,344.82 and 1,807.25

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Solution

The fourth proportional to 3,561, 5,344.82 and 1,807.25 is: 2,712.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,561 : 5,344.82 = 1,807.25 : x
  2. Step 2: Convert to fraction form
    3,561/5,344.82 = 1,807.25/x
  3. Step 3: Cross multiply
    3,561x = 5,344.82 × 1,807.25
  4. Step 4: Simplify right side
    3,561x = 9,659,390.18
  5. Step 5: Solve for x
    x = 9,659,390.18/3,561
  6. Step 6: Final answer
    x = 2,712.55

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Why These Related Problems?

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