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Finding the Fourth Proportional to 5,220.80, 7,787.20 and 4,857.92

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Solution

The fourth proportional to 5,220.80, 7,787.20 and 4,857.92 is: 7,245.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220.80 : 7,787.20 = 4,857.92 : x
  2. Step 2: Convert to fraction form
    5,220.80/7,787.20 = 4,857.92/x
  3. Step 3: Cross multiply
    5,220.80x = 7,787.20 × 4,857.92
  4. Step 4: Simplify right side
    5,220.80x = 37,829,594.62
  5. Step 5: Solve for x
    x = 37,829,594.62/5,220.80
  6. Step 6: Final answer
    x = 7,245.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.