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Finding the Fourth Proportional to 5,906.26, 8,859.78 and 1,957.50

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Solution

The fourth proportional to 5,906.26, 8,859.78 and 1,957.50 is: 2,936.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.26 : 8,859.78 = 1,957.50 : x
  2. Step 2: Convert to fraction form
    5,906.26/8,859.78 = 1,957.50/x
  3. Step 3: Cross multiply
    5,906.26x = 8,859.78 × 1,957.50
  4. Step 4: Simplify right side
    5,906.26x = 17,343,019.35
  5. Step 5: Solve for x
    x = 17,343,019.35/5,906.26
  6. Step 6: Final answer
    x = 2,936.38

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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.