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Finding the Fourth Proportional to 4,222.56, 5,784.85 and 4,064.85

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Solution

The fourth proportional to 4,222.56, 5,784.85 and 4,064.85 is: 5,568.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,222.56 : 5,784.85 = 4,064.85 : x
  2. Step 2: Convert to fraction form
    4,222.56/5,784.85 = 4,064.85/x
  3. Step 3: Cross multiply
    4,222.56x = 5,784.85 × 4,064.85
  4. Step 4: Simplify right side
    4,222.56x = 23,514,552.60
  5. Step 5: Solve for x
    x = 23,514,552.60/4,222.56
  6. Step 6: Final answer
    x = 5,568.79

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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.