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Finding the Fourth Proportional to 3,767.44, 5,648.10 and 3,253.54

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Solution

The fourth proportional to 3,767.44, 5,648.10 and 3,253.54 is: 4,877.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.44 : 5,648.10 = 3,253.54 : x
  2. Step 2: Convert to fraction form
    3,767.44/5,648.10 = 3,253.54/x
  3. Step 3: Cross multiply
    3,767.44x = 5,648.10 × 3,253.54
  4. Step 4: Simplify right side
    3,767.44x = 18,376,319.27
  5. Step 5: Solve for x
    x = 18,376,319.27/3,767.44
  6. Step 6: Final answer
    x = 4,877.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.