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Finding the Fourth Proportional to 3,891.62, 5,837.35 and 969.95

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Solution

The fourth proportional to 3,891.62, 5,837.35 and 969.95 is: 1,454.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.62 : 5,837.35 = 969.95 : x
  2. Step 2: Convert to fraction form
    3,891.62/5,837.35 = 969.95/x
  3. Step 3: Cross multiply
    3,891.62x = 5,837.35 × 969.95
  4. Step 4: Simplify right side
    3,891.62x = 5,661,937.63
  5. Step 5: Solve for x
    x = 5,661,937.63/3,891.62
  6. Step 6: Final answer
    x = 1,454.91

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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.