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Finding the Fourth Proportional to 3,698.54, 5,096.97 and 2,648.78

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Solution

The fourth proportional to 3,698.54, 5,096.97 and 2,648.78 is: 3,650.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.54 : 5,096.97 = 2,648.78 : x
  2. Step 2: Convert to fraction form
    3,698.54/5,096.97 = 2,648.78/x
  3. Step 3: Cross multiply
    3,698.54x = 5,096.97 × 2,648.78
  4. Step 4: Simplify right side
    3,698.54x = 13,500,752.20
  5. Step 5: Solve for x
    x = 13,500,752.20/3,698.54
  6. Step 6: Final answer
    x = 3,650.29

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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.