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Finding the Fourth Proportional to 3,548.54, 5,322.71 and 1,467.99

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Solution

The fourth proportional to 3,548.54, 5,322.71 and 1,467.99 is: 2,201.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.54 : 5,322.71 = 1,467.99 : x
  2. Step 2: Convert to fraction form
    3,548.54/5,322.71 = 1,467.99/x
  3. Step 3: Cross multiply
    3,548.54x = 5,322.71 × 1,467.99
  4. Step 4: Simplify right side
    3,548.54x = 7,813,688.72
  5. Step 5: Solve for x
    x = 7,813,688.72/3,548.54
  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.