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Finding the Fourth Proportional to 5,091.22, 7,026 and 2,853.16

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Solution

The fourth proportional to 5,091.22, 7,026 and 2,853.16 is: 3,937.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,091.22 : 7,026 = 2,853.16 : x
  2. Step 2: Convert to fraction form
    5,091.22/7,026 = 2,853.16/x
  3. Step 3: Cross multiply
    5,091.22x = 7,026 × 2,853.16
  4. Step 4: Simplify right side
    5,091.22x = 20,046,302.16
  5. Step 5: Solve for x
    x = 20,046,302.16/5,091.22
  6. Step 6: Final answer
    x = 3,937.43

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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.