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Finding the Fourth Proportional to 4,891.66, 7,344.78 and 3,433.66

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Solution

The fourth proportional to 4,891.66, 7,344.78 and 3,433.66 is: 5,155.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891.66 : 7,344.78 = 3,433.66 : x
  2. Step 2: Convert to fraction form
    4,891.66/7,344.78 = 3,433.66/x
  3. Step 3: Cross multiply
    4,891.66x = 7,344.78 × 3,433.66
  4. Step 4: Simplify right side
    4,891.66x = 25,219,477.29
  5. Step 5: Solve for x
    x = 25,219,477.29/4,891.66
  6. Step 6: Final answer
    x = 5,155.61

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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.