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Finding the Fourth Proportional to 5,362.98, 8,027.46 and 5,158.86

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Solution

The fourth proportional to 5,362.98, 8,027.46 and 5,158.86 is: 7,721.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.98 : 8,027.46 = 5,158.86 : x
  2. Step 2: Convert to fraction form
    5,362.98/8,027.46 = 5,158.86/x
  3. Step 3: Cross multiply
    5,362.98x = 8,027.46 × 5,158.86
  4. Step 4: Simplify right side
    5,362.98x = 41,412,542.30
  5. Step 5: Solve for x
    x = 41,412,542.30/5,362.98
  6. Step 6: Final answer
    x = 7,721.93

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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.