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Finding the Fourth Proportional to 3,351.74, 4,631.14 and 3,233.48

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Solution

The fourth proportional to 3,351.74, 4,631.14 and 3,233.48 is: 4,467.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,351.74 : 4,631.14 = 3,233.48 : x
  2. Step 2: Convert to fraction form
    3,351.74/4,631.14 = 3,233.48/x
  3. Step 3: Cross multiply
    3,351.74x = 4,631.14 × 3,233.48
  4. Step 4: Simplify right side
    3,351.74x = 14,974,698.57
  5. Step 5: Solve for x
    x = 14,974,698.57/3,351.74
  6. Step 6: Final answer
    x = 4,467.74

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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.