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Finding the Fourth Proportional to 5,193.74, 7,167.99 and 2,956.16

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Solution

The fourth proportional to 5,193.74, 7,167.99 and 2,956.16 is: 4,079.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.74 : 7,167.99 = 2,956.16 : x
  2. Step 2: Convert to fraction form
    5,193.74/7,167.99 = 2,956.16/x
  3. Step 3: Cross multiply
    5,193.74x = 7,167.99 × 2,956.16
  4. Step 4: Simplify right side
    5,193.74x = 21,189,725.32
  5. Step 5: Solve for x
    x = 21,189,725.32/5,193.74
  6. Step 6: Final answer
    x = 4,079.86

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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.