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Finding the Fourth Proportional to 3,478.44, 5,214.17 and 1,398.06

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Solution

The fourth proportional to 3,478.44, 5,214.17 and 1,398.06 is: 2,095.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.44 : 5,214.17 = 1,398.06 : x
  2. Step 2: Convert to fraction form
    3,478.44/5,214.17 = 1,398.06/x
  3. Step 3: Cross multiply
    3,478.44x = 5,214.17 × 1,398.06
  4. Step 4: Simplify right side
    3,478.44x = 7,289,715.52
  5. Step 5: Solve for x
    x = 7,289,715.52/3,478.44
  6. Step 6: Final answer
    x = 2,095.69

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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.