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Finding the Fourth Proportional to 3,522.08, 5,285.88 and 1,549.08

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Solution

The fourth proportional to 3,522.08, 5,285.88 and 1,549.08 is: 2,324.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.08 : 5,285.88 = 1,549.08 : x
  2. Step 2: Convert to fraction form
    3,522.08/5,285.88 = 1,549.08/x
  3. Step 3: Cross multiply
    3,522.08x = 5,285.88 × 1,549.08
  4. Step 4: Simplify right side
    3,522.08x = 8,188,250.99
  5. Step 5: Solve for x
    x = 8,188,250.99/3,522.08
  6. Step 6: Final answer
    x = 2,324.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.