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Finding the Fourth Proportional to 3,633.44, 5,014.05 and 2,141.45

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Solution

The fourth proportional to 3,633.44, 5,014.05 and 2,141.45 is: 2,955.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.44 : 5,014.05 = 2,141.45 : x
  2. Step 2: Convert to fraction form
    3,633.44/5,014.05 = 2,141.45/x
  3. Step 3: Cross multiply
    3,633.44x = 5,014.05 × 2,141.45
  4. Step 4: Simplify right side
    3,633.44x = 10,737,337.37
  5. Step 5: Solve for x
    x = 10,737,337.37/3,633.44
  6. Step 6: Final answer
    x = 2,955.14

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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.