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Finding the Fourth Proportional to 5,977.62, 8,963.40 and 2,814

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Solution

The fourth proportional to 5,977.62, 8,963.40 and 2,814 is: 4,219.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.62 : 8,963.40 = 2,814 : x
  2. Step 2: Convert to fraction form
    5,977.62/8,963.40 = 2,814/x
  3. Step 3: Cross multiply
    5,977.62x = 8,963.40 × 2,814
  4. Step 4: Simplify right side
    5,977.62x = 25,223,007.60
  5. Step 5: Solve for x
    x = 25,223,007.60/5,977.62
  6. Step 6: Final answer
    x = 4,219.57

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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.