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Finding the Fourth Proportional to 3,633.84, 5,014.63 and 2,040.53

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Solution

The fourth proportional to 3,633.84, 5,014.63 and 2,040.53 is: 2,815.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.84 : 5,014.63 = 2,040.53 : x
  2. Step 2: Convert to fraction form
    3,633.84/5,014.63 = 2,040.53/x
  3. Step 3: Cross multiply
    3,633.84x = 5,014.63 × 2,040.53
  4. Step 4: Simplify right side
    3,633.84x = 10,232,472.78
  5. Step 5: Solve for x
    x = 10,232,472.78/3,633.84
  6. Step 6: Final answer
    x = 2,815.88

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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.