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Finding the Fourth Proportional to 5,200.80, 7,801.44 and 3,005.52

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Solution

The fourth proportional to 5,200.80, 7,801.44 and 3,005.52 is: 4,508.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.80 : 7,801.44 = 3,005.52 : x
  2. Step 2: Convert to fraction form
    5,200.80/7,801.44 = 3,005.52/x
  3. Step 3: Cross multiply
    5,200.80x = 7,801.44 × 3,005.52
  4. Step 4: Simplify right side
    5,200.80x = 23,447,383.95
  5. Step 5: Solve for x
    x = 23,447,383.95/5,200.80
  6. Step 6: Final answer
    x = 4,508.42

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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.