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Finding the Fourth Proportional to 3,635.74, 5,016.72 and 3,451.24

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Solution

The fourth proportional to 3,635.74, 5,016.72 and 3,451.24 is: 4,762.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.74 : 5,016.72 = 3,451.24 : x
  2. Step 2: Convert to fraction form
    3,635.74/5,016.72 = 3,451.24/x
  3. Step 3: Cross multiply
    3,635.74x = 5,016.72 × 3,451.24
  4. Step 4: Simplify right side
    3,635.74x = 17,313,904.73
  5. Step 5: Solve for x
    x = 17,313,904.73/3,635.74
  6. Step 6: Final answer
    x = 4,762.14

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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.