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Finding the Fourth Proportional to 3,923.52, 5,884.92 and 1,326.12

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Solution

The fourth proportional to 3,923.52, 5,884.92 and 1,326.12 is: 1,989.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923.52 : 5,884.92 = 1,326.12 : x
  2. Step 2: Convert to fraction form
    3,923.52/5,884.92 = 1,326.12/x
  3. Step 3: Cross multiply
    3,923.52x = 5,884.92 × 1,326.12
  4. Step 4: Simplify right side
    3,923.52x = 7,804,110.11
  5. Step 5: Solve for x
    x = 7,804,110.11/3,923.52
  6. Step 6: Final answer
    x = 1,989.06

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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.