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Finding the Fourth Proportional to 3,851.52, 5,313.12 and 2,452.80

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Solution

The fourth proportional to 3,851.52, 5,313.12 and 2,452.80 is: 3,383.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.52 : 5,313.12 = 2,452.80 : x
  2. Step 2: Convert to fraction form
    3,851.52/5,313.12 = 2,452.80/x
  3. Step 3: Cross multiply
    3,851.52x = 5,313.12 × 2,452.80
  4. Step 4: Simplify right side
    3,851.52x = 13,032,020.74
  5. Step 5: Solve for x
    x = 13,032,020.74/3,851.52
  6. Step 6: Final answer
    x = 3,383.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.