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Finding the Fourth Proportional to 5,322.18, 7,983.32 and 1,859.44

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Solution

The fourth proportional to 5,322.18, 7,983.32 and 1,859.44 is: 2,789.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.18 : 7,983.32 = 1,859.44 : x
  2. Step 2: Convert to fraction form
    5,322.18/7,983.32 = 1,859.44/x
  3. Step 3: Cross multiply
    5,322.18x = 7,983.32 × 1,859.44
  4. Step 4: Simplify right side
    5,322.18x = 14,844,504.54
  5. Step 5: Solve for x
    x = 14,844,504.54/5,322.18
  6. Step 6: Final answer
    x = 2,789.18

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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.