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Finding the Fourth Proportional to 5,343.54, 7,374.37 and 3,219.74

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Solution

The fourth proportional to 5,343.54, 7,374.37 and 3,219.74 is: 4,443.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,343.54 : 7,374.37 = 3,219.74 : x
  2. Step 2: Convert to fraction form
    5,343.54/7,374.37 = 3,219.74/x
  3. Step 3: Cross multiply
    5,343.54x = 7,374.37 × 3,219.74
  4. Step 4: Simplify right side
    5,343.54x = 23,743,554.06
  5. Step 5: Solve for x
    x = 23,743,554.06/5,343.54
  6. Step 6: Final answer
    x = 4,443.41

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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.