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Finding the Fourth Proportional to 3,769.24, 5,630.03 and 3,186.04

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Solution

The fourth proportional to 3,769.24, 5,630.03 and 3,186.04 is: 4,758.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.24 : 5,630.03 = 3,186.04 : x
  2. Step 2: Convert to fraction form
    3,769.24/5,630.03 = 3,186.04/x
  3. Step 3: Cross multiply
    3,769.24x = 5,630.03 × 3,186.04
  4. Step 4: Simplify right side
    3,769.24x = 17,937,500.78
  5. Step 5: Solve for x
    x = 17,937,500.78/3,769.24
  6. Step 6: Final answer
    x = 4,758.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.