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Finding the Fourth Proportional to 5,901.97, 8,858.42 and 2,982.32

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Solution

The fourth proportional to 5,901.97, 8,858.42 and 2,982.32 is: 4,476.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901.97 : 8,858.42 = 2,982.32 : x
  2. Step 2: Convert to fraction form
    5,901.97/8,858.42 = 2,982.32/x
  3. Step 3: Cross multiply
    5,901.97x = 8,858.42 × 2,982.32
  4. Step 4: Simplify right side
    5,901.97x = 26,418,628.22
  5. Step 5: Solve for x
    x = 26,418,628.22/5,901.97
  6. Step 6: Final answer
    x = 4,476.24

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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.