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Finding the Fourth Proportional to 5,191.64, 7,164.10 and 2,833.74

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Solution

The fourth proportional to 5,191.64, 7,164.10 and 2,833.74 is: 3,910.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.64 : 7,164.10 = 2,833.74 : x
  2. Step 2: Convert to fraction form
    5,191.64/7,164.10 = 2,833.74/x
  3. Step 3: Cross multiply
    5,191.64x = 7,164.10 × 2,833.74
  4. Step 4: Simplify right side
    5,191.64x = 20,301,196.73
  5. Step 5: Solve for x
    x = 20,301,196.73/5,191.64
  6. Step 6: Final answer
    x = 3,910.36

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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.