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Finding the Fourth Proportional to 3,698.48, 5,104.20 and 2,301.44

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Solution

The fourth proportional to 3,698.48, 5,104.20 and 2,301.44 is: 3,176.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.48 : 5,104.20 = 2,301.44 : x
  2. Step 2: Convert to fraction form
    3,698.48/5,104.20 = 2,301.44/x
  3. Step 3: Cross multiply
    3,698.48x = 5,104.20 × 2,301.44
  4. Step 4: Simplify right side
    3,698.48x = 11,747,010.05
  5. Step 5: Solve for x
    x = 11,747,010.05/3,698.48
  6. Step 6: Final answer
    x = 3,176.17

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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.