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Finding the Fourth Proportional to 3,752.22, 5,174.61 and 3,454.13

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Solution

The fourth proportional to 3,752.22, 5,174.61 and 3,454.13 is: 4,763.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.22 : 5,174.61 = 3,454.13 : x
  2. Step 2: Convert to fraction form
    3,752.22/5,174.61 = 3,454.13/x
  3. Step 3: Cross multiply
    3,752.22x = 5,174.61 × 3,454.13
  4. Step 4: Simplify right side
    3,752.22x = 17,873,736.81
  5. Step 5: Solve for x
    x = 17,873,736.81/3,752.22
  6. Step 6: Final answer
    x = 4,763.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.