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Finding the Fourth Proportional to 4,891.74, 7,333.16 and 2,116.68

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Solution

The fourth proportional to 4,891.74, 7,333.16 and 2,116.68 is: 3,173.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891.74 : 7,333.16 = 2,116.68 : x
  2. Step 2: Convert to fraction form
    4,891.74/7,333.16 = 2,116.68/x
  3. Step 3: Cross multiply
    4,891.74x = 7,333.16 × 2,116.68
  4. Step 4: Simplify right side
    4,891.74x = 15,521,942.53
  5. Step 5: Solve for x
    x = 15,521,942.53/4,891.74
  6. Step 6: Final answer
    x = 3,173.09

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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.