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Finding the Fourth Proportional to 3,522.38, 5,282.43 and 1,575.98

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Solution

The fourth proportional to 3,522.38, 5,282.43 and 1,575.98 is: 2,363.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.38 : 5,282.43 = 1,575.98 : x
  2. Step 2: Convert to fraction form
    3,522.38/5,282.43 = 1,575.98/x
  3. Step 3: Cross multiply
    3,522.38x = 5,282.43 × 1,575.98
  4. Step 4: Simplify right side
    3,522.38x = 8,325,004.03
  5. Step 5: Solve for x
    x = 8,325,004.03/3,522.38
  6. Step 6: Final answer
    x = 2,363.46

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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.