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Finding the Fourth Proportional to 3,767.86, 5,609.58 and 3,749.62

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Solution

The fourth proportional to 3,767.86, 5,609.58 and 3,749.62 is: 5,582.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.86 : 5,609.58 = 3,749.62 : x
  2. Step 2: Convert to fraction form
    3,767.86/5,609.58 = 3,749.62/x
  3. Step 3: Cross multiply
    3,767.86x = 5,609.58 × 3,749.62
  4. Step 4: Simplify right side
    3,767.86x = 21,033,793.36
  5. Step 5: Solve for x
    x = 21,033,793.36/3,767.86
  6. Step 6: Final answer
    x = 5,582.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.