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Finding the Fourth Proportional to 3,834.87, 5,292.18 and 2,156.27

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Solution

The fourth proportional to 3,834.87, 5,292.18 and 2,156.27 is: 2,975.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.87 : 5,292.18 = 2,156.27 : x
  2. Step 2: Convert to fraction form
    3,834.87/5,292.18 = 2,156.27/x
  3. Step 3: Cross multiply
    3,834.87x = 5,292.18 × 2,156.27
  4. Step 4: Simplify right side
    3,834.87x = 11,411,350.35
  5. Step 5: Solve for x
    x = 11,411,350.35/3,834.87
  6. Step 6: Final answer
    x = 2,975.68

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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.