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Finding the Fourth Proportional to 5,193.84, 7,167.51 and 2,836.02

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Solution

The fourth proportional to 5,193.84, 7,167.51 and 2,836.02 is: 3,913.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.84 : 7,167.51 = 2,836.02 : x
  2. Step 2: Convert to fraction form
    5,193.84/7,167.51 = 2,836.02/x
  3. Step 3: Cross multiply
    5,193.84x = 7,167.51 × 2,836.02
  4. Step 4: Simplify right side
    5,193.84x = 20,327,201.71
  5. Step 5: Solve for x
    x = 20,327,201.71/5,193.84
  6. Step 6: Final answer
    x = 3,913.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.