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Finding the Fourth Proportional to 3,768.95, 5,200.09 and 2,196.74

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Solution

The fourth proportional to 3,768.95, 5,200.09 and 2,196.74 is: 3,030.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.95 : 5,200.09 = 2,196.74 : x
  2. Step 2: Convert to fraction form
    3,768.95/5,200.09 = 2,196.74/x
  3. Step 3: Cross multiply
    3,768.95x = 5,200.09 × 2,196.74
  4. Step 4: Simplify right side
    3,768.95x = 11,423,245.71
  5. Step 5: Solve for x
    x = 11,423,245.71/3,768.95
  6. Step 6: Final answer
    x = 3,030.88

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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.