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Finding the Fourth Proportional to 3,777.49, 5,212.56 and 2,206.50

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Solution

The fourth proportional to 3,777.49, 5,212.56 and 2,206.50 is: 3,044.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.49 : 5,212.56 = 2,206.50 : x
  2. Step 2: Convert to fraction form
    3,777.49/5,212.56 = 2,206.50/x
  3. Step 3: Cross multiply
    3,777.49x = 5,212.56 × 2,206.50
  4. Step 4: Simplify right side
    3,777.49x = 11,501,513.64
  5. Step 5: Solve for x
    x = 11,501,513.64/3,777.49
  6. Step 6: Final answer
    x = 3,044.75

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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.