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Finding the Fourth Proportional to 3,698.29, 5,096.62 and 2,648.53

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Solution

The fourth proportional to 3,698.29, 5,096.62 and 2,648.53 is: 3,649.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.29 : 5,096.62 = 2,648.53 : x
  2. Step 2: Convert to fraction form
    3,698.29/5,096.62 = 2,648.53/x
  3. Step 3: Cross multiply
    3,698.29x = 5,096.62 × 2,648.53
  4. Step 4: Simplify right side
    3,698.29x = 13,498,550.97
  5. Step 5: Solve for x
    x = 13,498,550.97/3,698.29
  6. Step 6: Final answer
    x = 3,649.94

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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.