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Finding the Fourth Proportional to 3,443.58, 5,161.05 and 1,497.42

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Solution

The fourth proportional to 3,443.58, 5,161.05 and 1,497.42 is: 2,244.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.58 : 5,161.05 = 1,497.42 : x
  2. Step 2: Convert to fraction form
    3,443.58/5,161.05 = 1,497.42/x
  3. Step 3: Cross multiply
    3,443.58x = 5,161.05 × 1,497.42
  4. Step 4: Simplify right side
    3,443.58x = 7,728,259.49
  5. Step 5: Solve for x
    x = 7,728,259.49/3,443.58
  6. Step 6: Final answer
    x = 2,244.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.