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Finding the Fourth Proportional to 3,411.92, 5,117.76 and 1,679.12

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Solution

The fourth proportional to 3,411.92, 5,117.76 and 1,679.12 is: 2,518.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.92 : 5,117.76 = 1,679.12 : x
  2. Step 2: Convert to fraction form
    3,411.92/5,117.76 = 1,679.12/x
  3. Step 3: Cross multiply
    3,411.92x = 5,117.76 × 1,679.12
  4. Step 4: Simplify right side
    3,411.92x = 8,593,333.17
  5. Step 5: Solve for x
    x = 8,593,333.17/3,411.92
  6. Step 6: Final answer
    x = 2,518.62

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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.