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Finding the Fourth Proportional to 3,891.75, 5,837.63 and 1,155.75

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Solution

The fourth proportional to 3,891.75, 5,837.63 and 1,155.75 is: 1,733.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.75 : 5,837.63 = 1,155.75 : x
  2. Step 2: Convert to fraction form
    3,891.75/5,837.63 = 1,155.75/x
  3. Step 3: Cross multiply
    3,891.75x = 5,837.63 × 1,155.75
  4. Step 4: Simplify right side
    3,891.75x = 6,746,840.87
  5. Step 5: Solve for x
    x = 6,746,840.87/3,891.75
  6. Step 6: Final answer
    x = 1,733.63

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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.