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Finding the Fourth Proportional to 5,994.40, 8,270 and 3,635.68

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Solution

The fourth proportional to 5,994.40, 8,270 and 3,635.68 is: 5,015.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,994.40 : 8,270 = 3,635.68 : x
  2. Step 2: Convert to fraction form
    5,994.40/8,270 = 3,635.68/x
  3. Step 3: Cross multiply
    5,994.40x = 8,270 × 3,635.68
  4. Step 4: Simplify right side
    5,994.40x = 30,067,073.60
  5. Step 5: Solve for x
    x = 30,067,073.60/5,994.40
  6. Step 6: Final answer
    x = 5,015.86

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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.