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Finding the Fourth Proportional to 3,839.58, 5,298.56 and 2,161.00

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Solution

The fourth proportional to 3,839.58, 5,298.56 and 2,161.00 is: 2,982.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.58 : 5,298.56 = 2,161.00 : x
  2. Step 2: Convert to fraction form
    3,839.58/5,298.56 = 2,161.00/x
  3. Step 3: Cross multiply
    3,839.58x = 5,298.56 × 2,161.00
  4. Step 4: Simplify right side
    3,839.58x = 11,450,219.14
  5. Step 5: Solve for x
    x = 11,450,219.14/3,839.58
  6. Step 6: Final answer
    x = 2,982.16

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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.