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Finding the Fourth Proportional to 5,220.55, 7,822.02 and 2,584.54

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Solution

The fourth proportional to 5,220.55, 7,822.02 and 2,584.54 is: 3,872.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220.55 : 7,822.02 = 2,584.54 : x
  2. Step 2: Convert to fraction form
    5,220.55/7,822.02 = 2,584.54/x
  3. Step 3: Cross multiply
    5,220.55x = 7,822.02 × 2,584.54
  4. Step 4: Simplify right side
    5,220.55x = 20,216,323.57
  5. Step 5: Solve for x
    x = 20,216,323.57/5,220.55
  6. Step 6: Final answer
    x = 3,872.45

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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.