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Finding the Fourth Proportional to 3,549, 5,324.84 and 1,700.04

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Solution

The fourth proportional to 3,549, 5,324.84 and 1,700.04 is: 2,550.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549 : 5,324.84 = 1,700.04 : x
  2. Step 2: Convert to fraction form
    3,549/5,324.84 = 1,700.04/x
  3. Step 3: Cross multiply
    3,549x = 5,324.84 × 1,700.04
  4. Step 4: Simplify right side
    3,549x = 9,052,440.99
  5. Step 5: Solve for x
    x = 9,052,440.99/3,549
  6. Step 6: Final answer
    x = 2,550.70

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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.