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Finding the Fourth Proportional to 3,548.90, 5,324.38 and 1,468.52

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Solution

The fourth proportional to 3,548.90, 5,324.38 and 1,468.52 is: 2,203.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.90 : 5,324.38 = 1,468.52 : x
  2. Step 2: Convert to fraction form
    3,548.90/5,324.38 = 1,468.52/x
  3. Step 3: Cross multiply
    3,548.90x = 5,324.38 × 1,468.52
  4. Step 4: Simplify right side
    3,548.90x = 7,818,954.85
  5. Step 5: Solve for x
    x = 7,818,954.85/3,548.90
  6. Step 6: Final answer
    x = 2,203.21

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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.