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Finding the Fourth Proportional to 3,257.80, 4,886.70 and 2,873.80

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Solution

The fourth proportional to 3,257.80, 4,886.70 and 2,873.80 is: 4,310.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.80 : 4,886.70 = 2,873.80 : x
  2. Step 2: Convert to fraction form
    3,257.80/4,886.70 = 2,873.80/x
  3. Step 3: Cross multiply
    3,257.80x = 4,886.70 × 2,873.80
  4. Step 4: Simplify right side
    3,257.80x = 14,043,398.46
  5. Step 5: Solve for x
    x = 14,043,398.46/3,257.80
  6. Step 6: Final answer
    x = 4,310.70

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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.