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Finding the Fourth Proportional to 5,156.25, 7,115.81 and 2,918.22

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Solution

The fourth proportional to 5,156.25, 7,115.81 and 2,918.22 is: 4,027.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.25 : 7,115.81 = 2,918.22 : x
  2. Step 2: Convert to fraction form
    5,156.25/7,115.81 = 2,918.22/x
  3. Step 3: Cross multiply
    5,156.25x = 7,115.81 × 2,918.22
  4. Step 4: Simplify right side
    5,156.25x = 20,765,499.06
  5. Step 5: Solve for x
    x = 20,765,499.06/5,156.25
  6. Step 6: Final answer
    x = 4,027.25

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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.