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Finding the Fourth Proportional to 5,164.77, 7,736.45 and 2,524.31

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Solution

The fourth proportional to 5,164.77, 7,736.45 and 2,524.31 is: 3,781.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.77 : 7,736.45 = 2,524.31 : x
  2. Step 2: Convert to fraction form
    5,164.77/7,736.45 = 2,524.31/x
  3. Step 3: Cross multiply
    5,164.77x = 7,736.45 × 2,524.31
  4. Step 4: Simplify right side
    5,164.77x = 19,529,146.80
  5. Step 5: Solve for x
    x = 19,529,146.80/5,164.77
  6. Step 6: Final answer
    x = 3,781.22

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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.