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Finding the Fourth Proportional to 4,452.73, 6,676.62 and 1,822.08

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Solution

The fourth proportional to 4,452.73, 6,676.62 and 1,822.08 is: 2,732.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,452.73 : 6,676.62 = 1,822.08 : x
  2. Step 2: Convert to fraction form
    4,452.73/6,676.62 = 1,822.08/x
  3. Step 3: Cross multiply
    4,452.73x = 6,676.62 × 1,822.08
  4. Step 4: Simplify right side
    4,452.73x = 12,165,326.67
  5. Step 5: Solve for x
    x = 12,165,326.67/4,452.73
  6. Step 6: Final answer
    x = 2,732.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.