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Finding the Fourth Proportional to 3,927.51, 5,891.49 and 1,005.84

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Solution

The fourth proportional to 3,927.51, 5,891.49 and 1,005.84 is: 1,508.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.51 : 5,891.49 = 1,005.84 : x
  2. Step 2: Convert to fraction form
    3,927.51/5,891.49 = 1,005.84/x
  3. Step 3: Cross multiply
    3,927.51x = 5,891.49 × 1,005.84
  4. Step 4: Simplify right side
    3,927.51x = 5,925,896.30
  5. Step 5: Solve for x
    x = 5,925,896.30/3,927.51
  6. Step 6: Final answer
    x = 1,508.82

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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.