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Finding the Fourth Proportional to 5,752.86, 7,919.52 and 5,163.18

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Solution

The fourth proportional to 5,752.86, 7,919.52 and 5,163.18 is: 7,107.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.86 : 7,919.52 = 5,163.18 : x
  2. Step 2: Convert to fraction form
    5,752.86/7,919.52 = 5,163.18/x
  3. Step 3: Cross multiply
    5,752.86x = 7,919.52 × 5,163.18
  4. Step 4: Simplify right side
    5,752.86x = 40,889,907.27
  5. Step 5: Solve for x
    x = 40,889,907.27/5,752.86
  6. Step 6: Final answer
    x = 7,107.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.