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Finding the Fourth Proportional to 5,322.54, 7,983.83 and 2,199.12

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Solution

The fourth proportional to 5,322.54, 7,983.83 and 2,199.12 is: 3,298.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.54 : 7,983.83 = 2,199.12 : x
  2. Step 2: Convert to fraction form
    5,322.54/7,983.83 = 2,199.12/x
  3. Step 3: Cross multiply
    5,322.54x = 7,983.83 × 2,199.12
  4. Step 4: Simplify right side
    5,322.54x = 17,557,389.23
  5. Step 5: Solve for x
    x = 17,557,389.23/5,322.54
  6. Step 6: Final answer
    x = 3,298.69

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1.5x scale

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.