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Finding the Fourth Proportional to 5,774.96, 8,663.16 and 1,879.76

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Solution

The fourth proportional to 5,774.96, 8,663.16 and 1,879.76 is: 2,819.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.96 : 8,663.16 = 1,879.76 : x
  2. Step 2: Convert to fraction form
    5,774.96/8,663.16 = 1,879.76/x
  3. Step 3: Cross multiply
    5,774.96x = 8,663.16 × 1,879.76
  4. Step 4: Simplify right side
    5,774.96x = 16,284,661.64
  5. Step 5: Solve for x
    x = 16,284,661.64/5,774.96
  6. Step 6: Final answer
    x = 2,819.87

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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.