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Finding the Fourth Proportional to 3,548.73, 5,324.12 and 1,468.35

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Solution

The fourth proportional to 3,548.73, 5,324.12 and 1,468.35 is: 2,202.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.73 : 5,324.12 = 1,468.35 : x
  2. Step 2: Convert to fraction form
    3,548.73/5,324.12 = 1,468.35/x
  3. Step 3: Cross multiply
    3,548.73x = 5,324.12 × 1,468.35
  4. Step 4: Simplify right side
    3,548.73x = 7,817,678.03
  5. Step 5: Solve for x
    x = 7,817,678.03/3,548.73
  6. Step 6: Final answer
    x = 2,202.95

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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.