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Finding the Fourth Proportional to 5,193.03, 7,165.42 and 2,954.78

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Solution

The fourth proportional to 5,193.03, 7,165.42 and 2,954.78 is: 4,077.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.03 : 7,165.42 = 2,954.78 : x
  2. Step 2: Convert to fraction form
    5,193.03/7,165.42 = 2,954.78/x
  3. Step 3: Cross multiply
    5,193.03x = 7,165.42 × 2,954.78
  4. Step 4: Simplify right side
    5,193.03x = 21,172,207.57
  5. Step 5: Solve for x
    x = 21,172,207.57/5,193.03
  6. Step 6: Final answer
    x = 4,077.04

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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.