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Finding the Fourth Proportional to 4,801.12, 7,201.60 and 2,029.60

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Solution

The fourth proportional to 4,801.12, 7,201.60 and 2,029.60 is: 3,044.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.12 : 7,201.60 = 2,029.60 : x
  2. Step 2: Convert to fraction form
    4,801.12/7,201.60 = 2,029.60/x
  3. Step 3: Cross multiply
    4,801.12x = 7,201.60 × 2,029.60
  4. Step 4: Simplify right side
    4,801.12x = 14,616,367.36
  5. Step 5: Solve for x
    x = 14,616,367.36/4,801.12
  6. Step 6: Final answer
    x = 3,044.37

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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.