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Finding the Fourth Proportional to 3,311.52, 4,569.39 and 1,914

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Solution

The fourth proportional to 3,311.52, 4,569.39 and 1,914 is: 2,641.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.52 : 4,569.39 = 1,914 : x
  2. Step 2: Convert to fraction form
    3,311.52/4,569.39 = 1,914/x
  3. Step 3: Cross multiply
    3,311.52x = 4,569.39 × 1,914
  4. Step 4: Simplify right side
    3,311.52x = 8,745,812.46
  5. Step 5: Solve for x
    x = 8,745,812.46/3,311.52
  6. Step 6: Final answer
    x = 2,641.03

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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.