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Finding the Fourth Proportional to 5,218.56, 7,827.87 and 1,322.97

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Solution

The fourth proportional to 5,218.56, 7,827.87 and 1,322.97 is: 1,984.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.56 : 7,827.87 = 1,322.97 : x
  2. Step 2: Convert to fraction form
    5,218.56/7,827.87 = 1,322.97/x
  3. Step 3: Cross multiply
    5,218.56x = 7,827.87 × 1,322.97
  4. Step 4: Simplify right side
    5,218.56x = 10,356,037.17
  5. Step 5: Solve for x
    x = 10,356,037.17/5,218.56
  6. Step 6: Final answer
    x = 1,984.46

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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.