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Finding the Fourth Proportional to 3,398.48, 5,074.46 and 3,044.80

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Solution

The fourth proportional to 3,398.48, 5,074.46 and 3,044.80 is: 4,546.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.48 : 5,074.46 = 3,044.80 : x
  2. Step 2: Convert to fraction form
    3,398.48/5,074.46 = 3,044.80/x
  3. Step 3: Cross multiply
    3,398.48x = 5,074.46 × 3,044.80
  4. Step 4: Simplify right side
    3,398.48x = 15,450,715.81
  5. Step 5: Solve for x
    x = 15,450,715.81/3,398.48
  6. Step 6: Final answer
    x = 4,546.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.