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Finding the Fourth Proportional to 3,247.60, 4,871.40 and 3,223.30

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Solution

The fourth proportional to 3,247.60, 4,871.40 and 3,223.30 is: 4,834.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247.60 : 4,871.40 = 3,223.30 : x
  2. Step 2: Convert to fraction form
    3,247.60/4,871.40 = 3,223.30/x
  3. Step 3: Cross multiply
    3,247.60x = 4,871.40 × 3,223.30
  4. Step 4: Simplify right side
    3,247.60x = 15,701,983.62
  5. Step 5: Solve for x
    x = 15,701,983.62/3,247.60
  6. Step 6: Final answer
    x = 4,834.95

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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.