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Finding the Fourth Proportional to 3,568.62, 5,350.98 and 1,102.98

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Solution

The fourth proportional to 3,568.62, 5,350.98 and 1,102.98 is: 1,653.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.62 : 5,350.98 = 1,102.98 : x
  2. Step 2: Convert to fraction form
    3,568.62/5,350.98 = 1,102.98/x
  3. Step 3: Cross multiply
    3,568.62x = 5,350.98 × 1,102.98
  4. Step 4: Simplify right side
    3,568.62x = 5,902,023.92
  5. Step 5: Solve for x
    x = 5,902,023.92/3,568.62
  6. Step 6: Final answer
    x = 1,653.87

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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.