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Finding the Fourth Proportional to 5,327.98, 7,993.14 and 1,630.54

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Solution

The fourth proportional to 5,327.98, 7,993.14 and 1,630.54 is: 2,446.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,327.98 : 7,993.14 = 1,630.54 : x
  2. Step 2: Convert to fraction form
    5,327.98/7,993.14 = 1,630.54/x
  3. Step 3: Cross multiply
    5,327.98x = 7,993.14 × 1,630.54
  4. Step 4: Simplify right side
    5,327.98x = 13,033,134.50
  5. Step 5: Solve for x
    x = 13,033,134.50/5,327.98
  6. Step 6: Final answer
    x = 2,446.17

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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.