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Finding the Fourth Proportional to 3,820.74, 5,270.02 and 2,248.82

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Solution

The fourth proportional to 3,820.74, 5,270.02 and 2,248.82 is: 3,101.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.74 : 5,270.02 = 2,248.82 : x
  2. Step 2: Convert to fraction form
    3,820.74/5,270.02 = 2,248.82/x
  3. Step 3: Cross multiply
    3,820.74x = 5,270.02 × 2,248.82
  4. Step 4: Simplify right side
    3,820.74x = 11,851,326.38
  5. Step 5: Solve for x
    x = 11,851,326.38/3,820.74
  6. Step 6: Final answer
    x = 3,101.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.