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Finding the Fourth Proportional to 3,768.64, 5,200.68 and 2,196.88

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Solution

The fourth proportional to 3,768.64, 5,200.68 and 2,196.88 is: 3,031.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.64 : 5,200.68 = 2,196.88 : x
  2. Step 2: Convert to fraction form
    3,768.64/5,200.68 = 2,196.88/x
  3. Step 3: Cross multiply
    3,768.64x = 5,200.68 × 2,196.88
  4. Step 4: Simplify right side
    3,768.64x = 11,425,269.88
  5. Step 5: Solve for x
    x = 11,425,269.88/3,768.64
  6. Step 6: Final answer
    x = 3,031.67

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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.