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Finding the Fourth Proportional to 5,322.20, 7,983.36 and 1,859.48

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Solution

The fourth proportional to 5,322.20, 7,983.36 and 1,859.48 is: 2,789.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.20 : 7,983.36 = 1,859.48 : x
  2. Step 2: Convert to fraction form
    5,322.20/7,983.36 = 1,859.48/x
  3. Step 3: Cross multiply
    5,322.20x = 7,983.36 × 1,859.48
  4. Step 4: Simplify right side
    5,322.20x = 14,844,898.25
  5. Step 5: Solve for x
    x = 14,844,898.25/5,322.20
  6. Step 6: Final answer
    x = 2,789.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.