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Finding the Fourth Proportional to 3,073.83, 4,631.30 and 2,781.64

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Solution

The fourth proportional to 3,073.83, 4,631.30 and 2,781.64 is: 4,191.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.83 : 4,631.30 = 2,781.64 : x
  2. Step 2: Convert to fraction form
    3,073.83/4,631.30 = 2,781.64/x
  3. Step 3: Cross multiply
    3,073.83x = 4,631.30 × 2,781.64
  4. Step 4: Simplify right side
    3,073.83x = 12,882,609.33
  5. Step 5: Solve for x
    x = 12,882,609.33/3,073.83
  6. Step 6: Final answer
    x = 4,191.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.