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Finding the Fourth Proportional to 3,184.67, 4,775.23 and 2,530.73

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Solution

The fourth proportional to 3,184.67, 4,775.23 and 2,530.73 is: 3,794.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.67 : 4,775.23 = 2,530.73 : x
  2. Step 2: Convert to fraction form
    3,184.67/4,775.23 = 2,530.73/x
  3. Step 3: Cross multiply
    3,184.67x = 4,775.23 × 2,530.73
  4. Step 4: Simplify right side
    3,184.67x = 12,084,805.16
  5. Step 5: Solve for x
    x = 12,084,805.16/3,184.67
  6. Step 6: Final answer
    x = 3,794.68

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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.