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Finding the Fourth Proportional to 3,812.80, 5,718.96 and 1,217.60

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Solution

The fourth proportional to 3,812.80, 5,718.96 and 1,217.60 is: 1,826.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.80 : 5,718.96 = 1,217.60 : x
  2. Step 2: Convert to fraction form
    3,812.80/5,718.96 = 1,217.60/x
  3. Step 3: Cross multiply
    3,812.80x = 5,718.96 × 1,217.60
  4. Step 4: Simplify right side
    3,812.80x = 6,963,405.70
  5. Step 5: Solve for x
    x = 6,963,405.70/3,812.80
  6. Step 6: Final answer
    x = 1,826.32

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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.