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Finding the Fourth Proportional to 3,927.34, 5,891.07 and 1,005.58

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Solution

The fourth proportional to 3,927.34, 5,891.07 and 1,005.58 is: 1,508.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.34 : 5,891.07 = 1,005.58 : x
  2. Step 2: Convert to fraction form
    3,927.34/5,891.07 = 1,005.58/x
  3. Step 3: Cross multiply
    3,927.34x = 5,891.07 × 1,005.58
  4. Step 4: Simplify right side
    3,927.34x = 5,923,942.17
  5. Step 5: Solve for x
    x = 5,923,942.17/3,927.34
  6. Step 6: Final answer
    x = 1,508.39

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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.