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Finding the Fourth Proportional to 3,187.64, 4,781.48 and 2,777.09

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Solution

The fourth proportional to 3,187.64, 4,781.48 and 2,777.09 is: 4,165.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.64 : 4,781.48 = 2,777.09 : x
  2. Step 2: Convert to fraction form
    3,187.64/4,781.48 = 2,777.09/x
  3. Step 3: Cross multiply
    3,187.64x = 4,781.48 × 2,777.09
  4. Step 4: Simplify right side
    3,187.64x = 13,278,562.50
  5. Step 5: Solve for x
    x = 13,278,562.50/3,187.64
  6. Step 6: Final answer
    x = 4,165.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.