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Finding the Fourth Proportional to 4,856.05, 7,294.44 and 3,478.24

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Solution

The fourth proportional to 4,856.05, 7,294.44 and 3,478.24 is: 5,224.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.05 : 7,294.44 = 3,478.24 : x
  2. Step 2: Convert to fraction form
    4,856.05/7,294.44 = 3,478.24/x
  3. Step 3: Cross multiply
    4,856.05x = 7,294.44 × 3,478.24
  4. Step 4: Simplify right side
    4,856.05x = 25,371,812.99
  5. Step 5: Solve for x
    x = 25,371,812.99/4,856.05
  6. Step 6: Final answer
    x = 5,224.78

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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.