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Finding the Fourth Proportional to 3,615.80, 5,426.74 and 2,524.92

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Solution

The fourth proportional to 3,615.80, 5,426.74 and 2,524.92 is: 3,789.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.80 : 5,426.74 = 2,524.92 : x
  2. Step 2: Convert to fraction form
    3,615.80/5,426.74 = 2,524.92/x
  3. Step 3: Cross multiply
    3,615.80x = 5,426.74 × 2,524.92
  4. Step 4: Simplify right side
    3,615.80x = 13,702,084.36
  5. Step 5: Solve for x
    x = 13,702,084.36/3,615.80
  6. Step 6: Final answer
    x = 3,789.50

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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.