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Finding the Fourth Proportional to 3,657.23, 5,043.39 and 3,353.68

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Solution

The fourth proportional to 3,657.23, 5,043.39 and 3,353.68 is: 4,624.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.23 : 5,043.39 = 3,353.68 : x
  2. Step 2: Convert to fraction form
    3,657.23/5,043.39 = 3,353.68/x
  3. Step 3: Cross multiply
    3,657.23x = 5,043.39 × 3,353.68
  4. Step 4: Simplify right side
    3,657.23x = 16,913,916.18
  5. Step 5: Solve for x
    x = 16,913,916.18/3,657.23
  6. Step 6: Final answer
    x = 4,624.79

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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.