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Finding the Fourth Proportional to 5,398.44, 7,450.74 and 3,040.80

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Solution

The fourth proportional to 5,398.44, 7,450.74 and 3,040.80 is: 4,196.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.44 : 7,450.74 = 3,040.80 : x
  2. Step 2: Convert to fraction form
    5,398.44/7,450.74 = 3,040.80/x
  3. Step 3: Cross multiply
    5,398.44x = 7,450.74 × 3,040.80
  4. Step 4: Simplify right side
    5,398.44x = 22,656,210.19
  5. Step 5: Solve for x
    x = 22,656,210.19/5,398.44
  6. Step 6: Final answer
    x = 4,196.81

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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.