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Finding the Fourth Proportional to 3,512.15, 5,270.04 and 2,546.22

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Solution

The fourth proportional to 3,512.15, 5,270.04 and 2,546.22 is: 3,820.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.15 : 5,270.04 = 2,546.22 : x
  2. Step 2: Convert to fraction form
    3,512.15/5,270.04 = 2,546.22/x
  3. Step 3: Cross multiply
    3,512.15x = 5,270.04 × 2,546.22
  4. Step 4: Simplify right side
    3,512.15x = 13,418,681.25
  5. Step 5: Solve for x
    x = 13,418,681.25/3,512.15
  6. Step 6: Final answer
    x = 3,820.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.