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Finding the Fourth Proportional to 4,119.71, 5,647.06 and 4,064.33

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Solution

The fourth proportional to 4,119.71, 5,647.06 and 4,064.33 is: 5,571.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,119.71 : 5,647.06 = 4,064.33 : x
  2. Step 2: Convert to fraction form
    4,119.71/5,647.06 = 4,064.33/x
  3. Step 3: Cross multiply
    4,119.71x = 5,647.06 × 4,064.33
  4. Step 4: Simplify right side
    4,119.71x = 22,951,515.37
  5. Step 5: Solve for x
    x = 22,951,515.37/4,119.71
  6. Step 6: Final answer
    x = 5,571.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.