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Finding the Fourth Proportional to 3,841.14, 5,762.88 and 1,993.58

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Solution

The fourth proportional to 3,841.14, 5,762.88 and 1,993.58 is: 2,990.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.14 : 5,762.88 = 1,993.58 : x
  2. Step 2: Convert to fraction form
    3,841.14/5,762.88 = 1,993.58/x
  3. Step 3: Cross multiply
    3,841.14x = 5,762.88 × 1,993.58
  4. Step 4: Simplify right side
    3,841.14x = 11,488,733.50
  5. Step 5: Solve for x
    x = 11,488,733.50/3,841.14
  6. Step 6: Final answer
    x = 2,990.97

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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.