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Finding the Fourth Proportional to 5,896.09, 8,139.99 and 3,909.36

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Solution

The fourth proportional to 5,896.09, 8,139.99 and 3,909.36 is: 5,397.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.09 : 8,139.99 = 3,909.36 : x
  2. Step 2: Convert to fraction form
    5,896.09/8,139.99 = 3,909.36/x
  3. Step 3: Cross multiply
    5,896.09x = 8,139.99 × 3,909.36
  4. Step 4: Simplify right side
    5,896.09x = 31,822,196.49
  5. Step 5: Solve for x
    x = 31,822,196.49/5,896.09
  6. Step 6: Final answer
    x = 5,397.17

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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.