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Finding the Fourth Proportional to 3,742.33, 5,164.45 and 2,063.80

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Solution

The fourth proportional to 3,742.33, 5,164.45 and 2,063.80 is: 2,848.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.33 : 5,164.45 = 2,063.80 : x
  2. Step 2: Convert to fraction form
    3,742.33/5,164.45 = 2,063.80/x
  3. Step 3: Cross multiply
    3,742.33x = 5,164.45 × 2,063.80
  4. Step 4: Simplify right side
    3,742.33x = 10,658,391.91
  5. Step 5: Solve for x
    x = 10,658,391.91/3,742.33
  6. Step 6: Final answer
    x = 2,848.06

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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.