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Finding the Fourth Proportional to 3,297.10, 4,945.65 and 3,151.30

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Solution

The fourth proportional to 3,297.10, 4,945.65 and 3,151.30 is: 4,726.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.10 : 4,945.65 = 3,151.30 : x
  2. Step 2: Convert to fraction form
    3,297.10/4,945.65 = 3,151.30/x
  3. Step 3: Cross multiply
    3,297.10x = 4,945.65 × 3,151.30
  4. Step 4: Simplify right side
    3,297.10x = 15,585,226.85
  5. Step 5: Solve for x
    x = 15,585,226.85/3,297.10
  6. Step 6: Final answer
    x = 4,726.95

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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.