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Finding the Fourth Proportional to 3,257.55, 4,888.89 and 1,311.12

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Solution

The fourth proportional to 3,257.55, 4,888.89 and 1,311.12 is: 1,967.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.55 : 4,888.89 = 1,311.12 : x
  2. Step 2: Convert to fraction form
    3,257.55/4,888.89 = 1,311.12/x
  3. Step 3: Cross multiply
    3,257.55x = 4,888.89 × 1,311.12
  4. Step 4: Simplify right side
    3,257.55x = 6,409,921.46
  5. Step 5: Solve for x
    x = 6,409,921.46/3,257.55
  6. Step 6: Final answer
    x = 1,967.71

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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.