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Finding the Fourth Proportional to 3,521.44, 5,283.12 and 1,468.96

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Solution

The fourth proportional to 3,521.44, 5,283.12 and 1,468.96 is: 2,203.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,521.44 : 5,283.12 = 1,468.96 : x
  2. Step 2: Convert to fraction form
    3,521.44/5,283.12 = 1,468.96/x
  3. Step 3: Cross multiply
    3,521.44x = 5,283.12 × 1,468.96
  4. Step 4: Simplify right side
    3,521.44x = 7,760,691.96
  5. Step 5: Solve for x
    x = 7,760,691.96/3,521.44
  6. Step 6: Final answer
    x = 2,203.84

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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.