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Finding the Fourth Proportional to 5,769.16, 8,622.13 and 4,212.45

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Solution

The fourth proportional to 5,769.16, 8,622.13 and 4,212.45 is: 6,295.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.16 : 8,622.13 = 4,212.45 : x
  2. Step 2: Convert to fraction form
    5,769.16/8,622.13 = 4,212.45/x
  3. Step 3: Cross multiply
    5,769.16x = 8,622.13 × 4,212.45
  4. Step 4: Simplify right side
    5,769.16x = 36,320,291.52
  5. Step 5: Solve for x
    x = 36,320,291.52/5,769.16
  6. Step 6: Final answer
    x = 6,295.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.