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Finding the Fourth Proportional to 3,633.84, 5,014.58 and 2,141.42

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Solution

The fourth proportional to 3,633.84, 5,014.58 and 2,141.42 is: 2,955.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.84 : 5,014.58 = 2,141.42 : x
  2. Step 2: Convert to fraction form
    3,633.84/5,014.58 = 2,141.42/x
  3. Step 3: Cross multiply
    3,633.84x = 5,014.58 × 2,141.42
  4. Step 4: Simplify right side
    3,633.84x = 10,738,286.12
  5. Step 5: Solve for x
    x = 10,738,286.12/3,633.84
  6. Step 6: Final answer
    x = 2,955.08

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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.