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Finding the Fourth Proportional to 3,777.39, 5,212.80 and 2,205.18

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Solution

The fourth proportional to 3,777.39, 5,212.80 and 2,205.18 is: 3,043.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.39 : 5,212.80 = 2,205.18 : x
  2. Step 2: Convert to fraction form
    3,777.39/5,212.80 = 2,205.18/x
  3. Step 3: Cross multiply
    3,777.39x = 5,212.80 × 2,205.18
  4. Step 4: Simplify right side
    3,777.39x = 11,495,162.30
  5. Step 5: Solve for x
    x = 11,495,162.30/3,777.39
  6. Step 6: Final answer
    x = 3,043.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.