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Finding the Fourth Proportional to 3,522.75, 5,282.07 and 1,548.30

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Solution

The fourth proportional to 3,522.75, 5,282.07 and 1,548.30 is: 2,321.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.75 : 5,282.07 = 1,548.30 : x
  2. Step 2: Convert to fraction form
    3,522.75/5,282.07 = 1,548.30/x
  3. Step 3: Cross multiply
    3,522.75x = 5,282.07 × 1,548.30
  4. Step 4: Simplify right side
    3,522.75x = 8,178,228.98
  5. Step 5: Solve for x
    x = 8,178,228.98/3,522.75
  6. Step 6: Final answer
    x = 2,321.55

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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.