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Finding the Fourth Proportional to 5,216.28, 7,200.72 and 3,120

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Solution

The fourth proportional to 5,216.28, 7,200.72 and 3,120 is: 4,306.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.28 : 7,200.72 = 3,120 : x
  2. Step 2: Convert to fraction form
    5,216.28/7,200.72 = 3,120/x
  3. Step 3: Cross multiply
    5,216.28x = 7,200.72 × 3,120
  4. Step 4: Simplify right side
    5,216.28x = 22,466,246.40
  5. Step 5: Solve for x
    x = 22,466,246.40/5,216.28
  6. Step 6: Final answer
    x = 4,306.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.