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Finding the Fourth Proportional to 5,801.96, 8,027.80 and 5,057.46

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Solution

The fourth proportional to 5,801.96, 8,027.80 and 5,057.46 is: 6,997.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.96 : 8,027.80 = 5,057.46 : x
  2. Step 2: Convert to fraction form
    5,801.96/8,027.80 = 5,057.46/x
  3. Step 3: Cross multiply
    5,801.96x = 8,027.80 × 5,057.46
  4. Step 4: Simplify right side
    5,801.96x = 40,600,277.39
  5. Step 5: Solve for x
    x = 40,600,277.39/5,801.96
  6. Step 6: Final answer
    x = 6,997.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.