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Finding the Fourth Proportional to 3,634.95, 5,017.02 and 2,142.33

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Solution

The fourth proportional to 3,634.95, 5,017.02 and 2,142.33 is: 2,956.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.95 : 5,017.02 = 2,142.33 : x
  2. Step 2: Convert to fraction form
    3,634.95/5,017.02 = 2,142.33/x
  3. Step 3: Cross multiply
    3,634.95x = 5,017.02 × 2,142.33
  4. Step 4: Simplify right side
    3,634.95x = 10,748,112.46
  5. Step 5: Solve for x
    x = 10,748,112.46/3,634.95
  6. Step 6: Final answer
    x = 2,956.88

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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.