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Finding the Fourth Proportional to 3,673.80, 5,502.06 and 2,845.48

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Solution

The fourth proportional to 3,673.80, 5,502.06 and 2,845.48 is: 4,261.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.80 : 5,502.06 = 2,845.48 : x
  2. Step 2: Convert to fraction form
    3,673.80/5,502.06 = 2,845.48/x
  3. Step 3: Cross multiply
    3,673.80x = 5,502.06 × 2,845.48
  4. Step 4: Simplify right side
    3,673.80x = 15,656,001.69
  5. Step 5: Solve for x
    x = 15,656,001.69/3,673.80
  6. Step 6: Final answer
    x = 4,261.53

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Why These Related Problems?

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