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Finding the Fourth Proportional to 5,322.09, 7,983.14 and 1,426.60

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Solution

The fourth proportional to 5,322.09, 7,983.14 and 1,426.60 is: 2,139.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.09 : 7,983.14 = 1,426.60 : x
  2. Step 2: Convert to fraction form
    5,322.09/7,983.14 = 1,426.60/x
  3. Step 3: Cross multiply
    5,322.09x = 7,983.14 × 1,426.60
  4. Step 4: Simplify right side
    5,322.09x = 11,388,720.43
  5. Step 5: Solve for x
    x = 11,388,720.43/5,322.09
  6. Step 6: Final answer
    x = 2,139.90

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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.