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Finding the Fourth Proportional to 5,324.71, 7,986.04 and 2,037.02

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Solution

The fourth proportional to 5,324.71, 7,986.04 and 2,037.02 is: 3,055.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324.71 : 7,986.04 = 2,037.02 : x
  2. Step 2: Convert to fraction form
    5,324.71/7,986.04 = 2,037.02/x
  3. Step 3: Cross multiply
    5,324.71x = 7,986.04 × 2,037.02
  4. Step 4: Simplify right side
    5,324.71x = 16,267,713.02
  5. Step 5: Solve for x
    x = 16,267,713.02/5,324.71
  6. Step 6: Final answer
    x = 3,055.14

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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.