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Finding the Fourth Proportional to 5,027.60, 6,937.98 and 2,789.46

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Solution

The fourth proportional to 5,027.60, 6,937.98 and 2,789.46 is: 3,849.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,027.60 : 6,937.98 = 2,789.46 : x
  2. Step 2: Convert to fraction form
    5,027.60/6,937.98 = 2,789.46/x
  3. Step 3: Cross multiply
    5,027.60x = 6,937.98 × 2,789.46
  4. Step 4: Simplify right side
    5,027.60x = 19,353,217.69
  5. Step 5: Solve for x
    x = 19,353,217.69/5,027.60
  6. Step 6: Final answer
    x = 3,849.39

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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.