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Finding the Fourth Proportional to 4,202.42, 6,299.52 and 1,568

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Solution

The fourth proportional to 4,202.42, 6,299.52 and 1,568 is: 2,350.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.42 : 6,299.52 = 1,568 : x
  2. Step 2: Convert to fraction form
    4,202.42/6,299.52 = 1,568/x
  3. Step 3: Cross multiply
    4,202.42x = 6,299.52 × 1,568
  4. Step 4: Simplify right side
    4,202.42x = 9,877,647.36
  5. Step 5: Solve for x
    x = 9,877,647.36/4,202.42
  6. Step 6: Final answer
    x = 2,350.47

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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.