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Finding the Fourth Proportional to 3,767.50, 5,647.50 and 1,818.64

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Solution

The fourth proportional to 3,767.50, 5,647.50 and 1,818.64 is: 2,726.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.50 : 5,647.50 = 1,818.64 : x
  2. Step 2: Convert to fraction form
    3,767.50/5,647.50 = 1,818.64/x
  3. Step 3: Cross multiply
    3,767.50x = 5,647.50 × 1,818.64
  4. Step 4: Simplify right side
    3,767.50x = 10,270,769.40
  5. Step 5: Solve for x
    x = 10,270,769.40/3,767.50
  6. Step 6: Final answer
    x = 2,726.15

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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.