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Finding the Fourth Proportional to 5,933.30, 8,896.94 and 1,983.14

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Solution

The fourth proportional to 5,933.30, 8,896.94 and 1,983.14 is: 2,973.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,933.30 : 8,896.94 = 1,983.14 : x
  2. Step 2: Convert to fraction form
    5,933.30/8,896.94 = 1,983.14/x
  3. Step 3: Cross multiply
    5,933.30x = 8,896.94 × 1,983.14
  4. Step 4: Simplify right side
    5,933.30x = 17,643,877.59
  5. Step 5: Solve for x
    x = 17,643,877.59/5,933.30
  6. Step 6: Final answer
    x = 2,973.70

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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.