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Finding the Fourth Proportional to 5,769.16, 7,961.12 and 3,379.16

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Solution

The fourth proportional to 5,769.16, 7,961.12 and 3,379.16 is: 4,663.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.16 : 7,961.12 = 3,379.16 : x
  2. Step 2: Convert to fraction form
    5,769.16/7,961.12 = 3,379.16/x
  3. Step 3: Cross multiply
    5,769.16x = 7,961.12 × 3,379.16
  4. Step 4: Simplify right side
    5,769.16x = 26,901,898.26
  5. Step 5: Solve for x
    x = 26,901,898.26/5,769.16
  6. Step 6: Final answer
    x = 4,663.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.