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Finding the Fourth Proportional to 5,049.71, 6,967.82 and 2,811.58

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Solution

The fourth proportional to 5,049.71, 6,967.82 and 2,811.58 is: 3,879.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.71 : 6,967.82 = 2,811.58 : x
  2. Step 2: Convert to fraction form
    5,049.71/6,967.82 = 2,811.58/x
  3. Step 3: Cross multiply
    5,049.71x = 6,967.82 × 2,811.58
  4. Step 4: Simplify right side
    5,049.71x = 19,590,583.36
  5. Step 5: Solve for x
    x = 19,590,583.36/5,049.71
  6. Step 6: Final answer
    x = 3,879.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.