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Finding the Fourth Proportional to 3,878.50, 5,817.67 and 956.83

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Solution

The fourth proportional to 3,878.50, 5,817.67 and 956.83 is: 1,435.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.50 : 5,817.67 = 956.83 : x
  2. Step 2: Convert to fraction form
    3,878.50/5,817.67 = 956.83/x
  3. Step 3: Cross multiply
    3,878.50x = 5,817.67 × 956.83
  4. Step 4: Simplify right side
    3,878.50x = 5,566,504.25
  5. Step 5: Solve for x
    x = 5,566,504.25/3,878.50
  6. Step 6: Final answer
    x = 1,435.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.