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Finding the Fourth Proportional to 5,901.84, 8,858.24 and 2,982.20

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Solution

The fourth proportional to 5,901.84, 8,858.24 and 2,982.20 is: 4,476.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901.84 : 8,858.24 = 2,982.20 : x
  2. Step 2: Convert to fraction form
    5,901.84/8,858.24 = 2,982.20/x
  3. Step 3: Cross multiply
    5,901.84x = 8,858.24 × 2,982.20
  4. Step 4: Simplify right side
    5,901.84x = 26,417,043.33
  5. Step 5: Solve for x
    x = 26,417,043.33/5,901.84
  6. Step 6: Final answer
    x = 4,476.07

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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.