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Finding the Fourth Proportional to 3,682.59, 5,525.79 and 1,344.18

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Solution

The fourth proportional to 3,682.59, 5,525.79 and 1,344.18 is: 2,016.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.59 : 5,525.79 = 1,344.18 : x
  2. Step 2: Convert to fraction form
    3,682.59/5,525.79 = 1,344.18/x
  3. Step 3: Cross multiply
    3,682.59x = 5,525.79 × 1,344.18
  4. Step 4: Simplify right side
    3,682.59x = 7,427,656.40
  5. Step 5: Solve for x
    x = 7,427,656.40/3,682.59
  6. Step 6: Final answer
    x = 2,016.97

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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.