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Finding the Fourth Proportional to 5,882.32, 8,824.83 and 1,933.91

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Solution

The fourth proportional to 5,882.32, 8,824.83 and 1,933.91 is: 2,901.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.32 : 8,824.83 = 1,933.91 : x
  2. Step 2: Convert to fraction form
    5,882.32/8,824.83 = 1,933.91/x
  3. Step 3: Cross multiply
    5,882.32x = 8,824.83 × 1,933.91
  4. Step 4: Simplify right side
    5,882.32x = 17,066,431.82
  5. Step 5: Solve for x
    x = 17,066,431.82/5,882.32
  6. Step 6: Final answer
    x = 2,901.31

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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.