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Finding the Fourth Proportional to 5,769.42, 8,608.85 and 5,416.77

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Solution

The fourth proportional to 5,769.42, 8,608.85 and 5,416.77 is: 8,082.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.42 : 8,608.85 = 5,416.77 : x
  2. Step 2: Convert to fraction form
    5,769.42/8,608.85 = 5,416.77/x
  3. Step 3: Cross multiply
    5,769.42x = 8,608.85 × 5,416.77
  4. Step 4: Simplify right side
    5,769.42x = 46,632,137.50
  5. Step 5: Solve for x
    x = 46,632,137.50/5,769.42
  6. Step 6: Final answer
    x = 8,082.64

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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.