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Finding the Fourth Proportional to 5,305.14, 7,958.96 and 5,216.99

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Solution

The fourth proportional to 5,305.14, 7,958.96 and 5,216.99 is: 7,826.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.14 : 7,958.96 = 5,216.99 : x
  2. Step 2: Convert to fraction form
    5,305.14/7,958.96 = 5,216.99/x
  3. Step 3: Cross multiply
    5,305.14x = 7,958.96 × 5,216.99
  4. Step 4: Simplify right side
    5,305.14x = 41,521,748.85
  5. Step 5: Solve for x
    x = 41,521,748.85/5,305.14
  6. Step 6: Final answer
    x = 7,826.70

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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.