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Finding the Fourth Proportional to 4,212.80, 5,812.80 and 3,219.20

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Solution

The fourth proportional to 4,212.80, 5,812.80 and 3,219.20 is: 4,441.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212.80 : 5,812.80 = 3,219.20 : x
  2. Step 2: Convert to fraction form
    4,212.80/5,812.80 = 3,219.20/x
  3. Step 3: Cross multiply
    4,212.80x = 5,812.80 × 3,219.20
  4. Step 4: Simplify right side
    4,212.80x = 18,712,565.76
  5. Step 5: Solve for x
    x = 18,712,565.76/4,212.80
  6. Step 6: Final answer
    x = 4,441.84

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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.