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Finding the Fourth Proportional to 5,305.70, 7,958.24 and 1,794.52

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Solution

The fourth proportional to 5,305.70, 7,958.24 and 1,794.52 is: 2,691.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.70 : 7,958.24 = 1,794.52 : x
  2. Step 2: Convert to fraction form
    5,305.70/7,958.24 = 1,794.52/x
  3. Step 3: Cross multiply
    5,305.70x = 7,958.24 × 1,794.52
  4. Step 4: Simplify right side
    5,305.70x = 14,281,220.84
  5. Step 5: Solve for x
    x = 14,281,220.84/5,305.70
  6. Step 6: Final answer
    x = 2,691.68

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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.