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Finding the Fourth Proportional to 5,879.76, 8,814.24 and 1,983.12

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Solution

The fourth proportional to 5,879.76, 8,814.24 and 1,983.12 is: 2,972.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,879.76 : 8,814.24 = 1,983.12 : x
  2. Step 2: Convert to fraction form
    5,879.76/8,814.24 = 1,983.12/x
  3. Step 3: Cross multiply
    5,879.76x = 8,814.24 × 1,983.12
  4. Step 4: Simplify right side
    5,879.76x = 17,479,695.63
  5. Step 5: Solve for x
    x = 17,479,695.63/5,879.76
  6. Step 6: Final answer
    x = 2,972.86

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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.