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Finding the Fourth Proportional to 5,977.71, 8,249.04 and 3,325.23

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Solution

The fourth proportional to 5,977.71, 8,249.04 and 3,325.23 is: 4,588.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.71 : 8,249.04 = 3,325.23 : x
  2. Step 2: Convert to fraction form
    5,977.71/8,249.04 = 3,325.23/x
  3. Step 3: Cross multiply
    5,977.71x = 8,249.04 × 3,325.23
  4. Step 4: Simplify right side
    5,977.71x = 27,429,955.28
  5. Step 5: Solve for x
    x = 27,429,955.28/5,977.71
  6. Step 6: Final answer
    x = 4,588.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.