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Finding the Fourth Proportional to 3,747.90, 5,613.76 and 1,894.62

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Solution

The fourth proportional to 3,747.90, 5,613.76 and 1,894.62 is: 2,837.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.90 : 5,613.76 = 1,894.62 : x
  2. Step 2: Convert to fraction form
    3,747.90/5,613.76 = 1,894.62/x
  3. Step 3: Cross multiply
    3,747.90x = 5,613.76 × 1,894.62
  4. Step 4: Simplify right side
    3,747.90x = 10,635,954.73
  5. Step 5: Solve for x
    x = 10,635,954.73/3,747.90
  6. Step 6: Final answer
    x = 2,837.84

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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.