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Finding the Fourth Proportional to 5,146.25, 7,102.44 and 2,908.22

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Solution

The fourth proportional to 5,146.25, 7,102.44 and 2,908.22 is: 4,013.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.25 : 7,102.44 = 2,908.22 : x
  2. Step 2: Convert to fraction form
    5,146.25/7,102.44 = 2,908.22/x
  3. Step 3: Cross multiply
    5,146.25x = 7,102.44 × 2,908.22
  4. Step 4: Simplify right side
    5,146.25x = 20,655,422.54
  5. Step 5: Solve for x
    x = 20,655,422.54/5,146.25
  6. Step 6: Final answer
    x = 4,013.69

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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.