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Finding the Fourth Proportional to 3,768.68, 5,200.98 and 2,196.68

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Solution

The fourth proportional to 3,768.68, 5,200.98 and 2,196.68 is: 3,031.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.68 : 5,200.98 = 2,196.68 : x
  2. Step 2: Convert to fraction form
    3,768.68/5,200.98 = 2,196.68/x
  3. Step 3: Cross multiply
    3,768.68x = 5,200.98 × 2,196.68
  4. Step 4: Simplify right side
    3,768.68x = 11,424,888.75
  5. Step 5: Solve for x
    x = 11,424,888.75/3,768.68
  6. Step 6: Final answer
    x = 3,031.54

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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.