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Finding the Fourth Proportional to 3,752.68, 5,630.64 and 2,022.52

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Solution

The fourth proportional to 3,752.68, 5,630.64 and 2,022.52 is: 3,034.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.68 : 5,630.64 = 2,022.52 : x
  2. Step 2: Convert to fraction form
    3,752.68/5,630.64 = 2,022.52/x
  3. Step 3: Cross multiply
    3,752.68x = 5,630.64 × 2,022.52
  4. Step 4: Simplify right side
    3,752.68x = 11,388,082.01
  5. Step 5: Solve for x
    x = 11,388,082.01/3,752.68
  6. Step 6: Final answer
    x = 3,034.65

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