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Finding the Fourth Proportional to 3,311, 4,569.18 and 1,913.76

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Solution

The fourth proportional to 3,311, 4,569.18 and 1,913.76 is: 2,640.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311 : 4,569.18 = 1,913.76 : x
  2. Step 2: Convert to fraction form
    3,311/4,569.18 = 1,913.76/x
  3. Step 3: Cross multiply
    3,311x = 4,569.18 × 1,913.76
  4. Step 4: Simplify right side
    3,311x = 8,744,313.92
  5. Step 5: Solve for x
    x = 8,744,313.92/3,311
  6. Step 6: Final answer
    x = 2,640.99

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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.