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Finding the Fourth Proportional to 3,642.85, 5,468.61 and 3,494.31

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Solution

The fourth proportional to 3,642.85, 5,468.61 and 3,494.31 is: 5,245.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.85 : 5,468.61 = 3,494.31 : x
  2. Step 2: Convert to fraction form
    3,642.85/5,468.61 = 3,494.31/x
  3. Step 3: Cross multiply
    3,642.85x = 5,468.61 × 3,494.31
  4. Step 4: Simplify right side
    3,642.85x = 19,109,018.61
  5. Step 5: Solve for x
    x = 19,109,018.61/3,642.85
  6. Step 6: Final answer
    x = 5,245.63

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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.