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Finding the Fourth Proportional to 3,548.56, 5,322.61 and 1,468.02

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Solution

The fourth proportional to 3,548.56, 5,322.61 and 1,468.02 is: 2,201.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.56 : 5,322.61 = 1,468.02 : x
  2. Step 2: Convert to fraction form
    3,548.56/5,322.61 = 1,468.02/x
  3. Step 3: Cross multiply
    3,548.56x = 5,322.61 × 1,468.02
  4. Step 4: Simplify right side
    3,548.56x = 7,813,719.73
  5. Step 5: Solve for x
    x = 7,813,719.73/3,548.56
  6. Step 6: Final answer
    x = 2,201.94

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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.