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Finding the Fourth Proportional to 3,224.92, 4,837.34 and 916.42

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Solution

The fourth proportional to 3,224.92, 4,837.34 and 916.42 is: 1,374.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.92 : 4,837.34 = 916.42 : x
  2. Step 2: Convert to fraction form
    3,224.92/4,837.34 = 916.42/x
  3. Step 3: Cross multiply
    3,224.92x = 4,837.34 × 916.42
  4. Step 4: Simplify right side
    3,224.92x = 4,433,035.12
  5. Step 5: Solve for x
    x = 4,433,035.12/3,224.92
  6. Step 6: Final answer
    x = 1,374.62

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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.