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Finding the Fourth Proportional to 3,452.00, 4,765.57 and 2,772.41

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Solution

The fourth proportional to 3,452.00, 4,765.57 and 2,772.41 is: 3,827.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.00 : 4,765.57 = 2,772.41 : x
  2. Step 2: Convert to fraction form
    3,452.00/4,765.57 = 2,772.41/x
  3. Step 3: Cross multiply
    3,452.00x = 4,765.57 × 2,772.41
  4. Step 4: Simplify right side
    3,452.00x = 13,212,083.16
  5. Step 5: Solve for x
    x = 13,212,083.16/3,452.00
  6. Step 6: Final answer
    x = 3,827.38

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Why These Related Problems?

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