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Finding the Fourth Proportional to 5,218.02, 7,827.04 and 1,322.42

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Solution

The fourth proportional to 5,218.02, 7,827.04 and 1,322.42 is: 1,983.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.02 : 7,827.04 = 1,322.42 : x
  2. Step 2: Convert to fraction form
    5,218.02/7,827.04 = 1,322.42/x
  3. Step 3: Cross multiply
    5,218.02x = 7,827.04 × 1,322.42
  4. Step 4: Simplify right side
    5,218.02x = 10,350,634.24
  5. Step 5: Solve for x
    x = 10,350,634.24/5,218.02
  6. Step 6: Final answer
    x = 1,983.63

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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.