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Finding the Fourth Proportional to 5,901.84, 8,858.22 and 2,982.21

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Solution

The fourth proportional to 5,901.84, 8,858.22 and 2,982.21 is: 4,476.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901.84 : 8,858.22 = 2,982.21 : x
  2. Step 2: Convert to fraction form
    5,901.84/8,858.22 = 2,982.21/x
  3. Step 3: Cross multiply
    5,901.84x = 8,858.22 × 2,982.21
  4. Step 4: Simplify right side
    5,901.84x = 26,417,072.27
  5. Step 5: Solve for x
    x = 26,417,072.27/5,901.84
  6. Step 6: Final answer
    x = 4,476.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.