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Finding the Fourth Proportional to 4,780.33, 7,144.86 and 4,310.73

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Solution

The fourth proportional to 4,780.33, 7,144.86 and 4,310.73 is: 6,442.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,780.33 : 7,144.86 = 4,310.73 : x
  2. Step 2: Convert to fraction form
    4,780.33/7,144.86 = 4,310.73/x
  3. Step 3: Cross multiply
    4,780.33x = 7,144.86 × 4,310.73
  4. Step 4: Simplify right side
    4,780.33x = 30,799,578.51
  5. Step 5: Solve for x
    x = 30,799,578.51/4,780.33
  6. Step 6: Final answer
    x = 6,442.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.