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Finding the Fourth Proportional to 3,253.14, 4,868.37 and 2,661.30

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Solution

The fourth proportional to 3,253.14, 4,868.37 and 2,661.30 is: 3,982.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,253.14 : 4,868.37 = 2,661.30 : x
  2. Step 2: Convert to fraction form
    3,253.14/4,868.37 = 2,661.30/x
  3. Step 3: Cross multiply
    3,253.14x = 4,868.37 × 2,661.30
  4. Step 4: Simplify right side
    3,253.14x = 12,956,193.08
  5. Step 5: Solve for x
    x = 12,956,193.08/3,253.14
  6. Step 6: Final answer
    x = 3,982.67

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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.