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Finding the Fourth Proportional to 5,193.38, 7,167.06 and 2,955.46

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Solution

The fourth proportional to 5,193.38, 7,167.06 and 2,955.46 is: 4,078.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.38 : 7,167.06 = 2,955.46 : x
  2. Step 2: Convert to fraction form
    5,193.38/7,167.06 = 2,955.46/x
  3. Step 3: Cross multiply
    5,193.38x = 7,167.06 × 2,955.46
  4. Step 4: Simplify right side
    5,193.38x = 21,181,959.15
  5. Step 5: Solve for x
    x = 21,181,959.15/5,193.38
  6. Step 6: Final answer
    x = 4,078.65

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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.