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Finding the Fourth Proportional to 3,642.35, 5,467.86 and 3,493.81

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Solution

The fourth proportional to 3,642.35, 5,467.86 and 3,493.81 is: 5,244.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.35 : 5,467.86 = 3,493.81 : x
  2. Step 2: Convert to fraction form
    3,642.35/5,467.86 = 3,493.81/x
  3. Step 3: Cross multiply
    3,642.35x = 5,467.86 × 3,493.81
  4. Step 4: Simplify right side
    3,642.35x = 19,103,670.78
  5. Step 5: Solve for x
    x = 19,103,670.78/3,642.35
  6. Step 6: Final answer
    x = 5,244.88

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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.