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Finding the Fourth Proportional to 3,890.29, 5,835.50 and 968.62

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Solution

The fourth proportional to 3,890.29, 5,835.50 and 968.62 is: 1,452.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.29 : 5,835.50 = 968.62 : x
  2. Step 2: Convert to fraction form
    3,890.29/5,835.50 = 968.62/x
  3. Step 3: Cross multiply
    3,890.29x = 5,835.50 × 968.62
  4. Step 4: Simplify right side
    3,890.29x = 5,652,382.01
  5. Step 5: Solve for x
    x = 5,652,382.01/3,890.29
  6. Step 6: Final answer
    x = 1,452.95

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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.