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Finding the Fourth Proportional to 3,676.06, 5,062.53 and 3,233.80

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Solution

The fourth proportional to 3,676.06, 5,062.53 and 3,233.80 is: 4,453.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.06 : 5,062.53 = 3,233.80 : x
  2. Step 2: Convert to fraction form
    3,676.06/5,062.53 = 3,233.80/x
  3. Step 3: Cross multiply
    3,676.06x = 5,062.53 × 3,233.80
  4. Step 4: Simplify right side
    3,676.06x = 16,371,209.51
  5. Step 5: Solve for x
    x = 16,371,209.51/3,676.06
  6. Step 6: Final answer
    x = 4,453.47

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1.5x scale

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.