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Finding the Fourth Proportional to 3,499.57, 4,838.56 and 3,344.66

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Solution

The fourth proportional to 3,499.57, 4,838.56 and 3,344.66 is: 4,624.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.57 : 4,838.56 = 3,344.66 : x
  2. Step 2: Convert to fraction form
    3,499.57/4,838.56 = 3,344.66/x
  3. Step 3: Cross multiply
    3,499.57x = 4,838.56 × 3,344.66
  4. Step 4: Simplify right side
    3,499.57x = 16,183,323.68
  5. Step 5: Solve for x
    x = 16,183,323.68/3,499.57
  6. Step 6: Final answer
    x = 4,624.37

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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.