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Finding the Fourth Proportional to 5,177.54, 7,766.55 and 1,480.30

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Solution

The fourth proportional to 5,177.54, 7,766.55 and 1,480.30 is: 2,220.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177.54 : 7,766.55 = 1,480.30 : x
  2. Step 2: Convert to fraction form
    5,177.54/7,766.55 = 1,480.30/x
  3. Step 3: Cross multiply
    5,177.54x = 7,766.55 × 1,480.30
  4. Step 4: Simplify right side
    5,177.54x = 11,496,823.97
  5. Step 5: Solve for x
    x = 11,496,823.97/5,177.54
  6. Step 6: Final answer
    x = 2,220.52

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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.