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Finding the Fourth Proportional to 5,896.13, 8,133.89 and 4,300.43

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Solution

The fourth proportional to 5,896.13, 8,133.89 and 4,300.43 is: 5,932.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.13 : 8,133.89 = 4,300.43 : x
  2. Step 2: Convert to fraction form
    5,896.13/8,133.89 = 4,300.43/x
  3. Step 3: Cross multiply
    5,896.13x = 8,133.89 × 4,300.43
  4. Step 4: Simplify right side
    5,896.13x = 34,979,162.40
  5. Step 5: Solve for x
    x = 34,979,162.40/5,896.13
  6. Step 6: Final answer
    x = 5,932.57

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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.