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Finding the Fourth Proportional to 3,157.95, 4,723.02 and 2,327.70

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Solution

The fourth proportional to 3,157.95, 4,723.02 and 2,327.70 is: 3,481.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.95 : 4,723.02 = 2,327.70 : x
  2. Step 2: Convert to fraction form
    3,157.95/4,723.02 = 2,327.70/x
  3. Step 3: Cross multiply
    3,157.95x = 4,723.02 × 2,327.70
  4. Step 4: Simplify right side
    3,157.95x = 10,993,773.65
  5. Step 5: Solve for x
    x = 10,993,773.65/3,157.95
  6. Step 6: Final answer
    x = 3,481.30

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Why These Related Problems?

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