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Finding the Fourth Proportional to 5,769.12, 8,663.40 and 5,723.76

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Solution

The fourth proportional to 5,769.12, 8,663.40 and 5,723.76 is: 8,595.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.12 : 8,663.40 = 5,723.76 : x
  2. Step 2: Convert to fraction form
    5,769.12/8,663.40 = 5,723.76/x
  3. Step 3: Cross multiply
    5,769.12x = 8,663.40 × 5,723.76
  4. Step 4: Simplify right side
    5,769.12x = 49,587,222.38
  5. Step 5: Solve for x
    x = 49,587,222.38/5,769.12
  6. Step 6: Final answer
    x = 8,595.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.