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Finding the Fourth Proportional to 5,265.75, 7,899.78 and 1,568.24

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Solution

The fourth proportional to 5,265.75, 7,899.78 and 1,568.24 is: 2,352.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.75 : 7,899.78 = 1,568.24 : x
  2. Step 2: Convert to fraction form
    5,265.75/7,899.78 = 1,568.24/x
  3. Step 3: Cross multiply
    5,265.75x = 7,899.78 × 1,568.24
  4. Step 4: Simplify right side
    5,265.75x = 12,388,711.49
  5. Step 5: Solve for x
    x = 12,388,711.49/5,265.75
  6. Step 6: Final answer
    x = 2,352.70

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1.5x scale

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.