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Finding the Fourth Proportional to 5,582.73, 7,704.20 and 3,064.95

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Solution

The fourth proportional to 5,582.73, 7,704.20 and 3,064.95 is: 4,229.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.73 : 7,704.20 = 3,064.95 : x
  2. Step 2: Convert to fraction form
    5,582.73/7,704.20 = 3,064.95/x
  3. Step 3: Cross multiply
    5,582.73x = 7,704.20 × 3,064.95
  4. Step 4: Simplify right side
    5,582.73x = 23,612,987.79
  5. Step 5: Solve for x
    x = 23,612,987.79/5,582.73
  6. Step 6: Final answer
    x = 4,229.65

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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.