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Finding the Fourth Proportional to 3,247.75, 4,867.50 and 2,077.30

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Solution

The fourth proportional to 3,247.75, 4,867.50 and 2,077.30 is: 3,113.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247.75 : 4,867.50 = 2,077.30 : x
  2. Step 2: Convert to fraction form
    3,247.75/4,867.50 = 2,077.30/x
  3. Step 3: Cross multiply
    3,247.75x = 4,867.50 × 2,077.30
  4. Step 4: Simplify right side
    3,247.75x = 10,111,257.75
  5. Step 5: Solve for x
    x = 10,111,257.75/3,247.75
  6. Step 6: Final answer
    x = 3,113.31

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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.