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Finding the Fourth Proportional to 4,976.82, 6,863.58 and 3,927.06

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Solution

The fourth proportional to 4,976.82, 6,863.58 and 3,927.06 is: 5,415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.82 : 6,863.58 = 3,927.06 : x
  2. Step 2: Convert to fraction form
    4,976.82/6,863.58 = 3,927.06/x
  3. Step 3: Cross multiply
    4,976.82x = 6,863.58 × 3,927.06
  4. Step 4: Simplify right side
    4,976.82x = 26,953,690.47
  5. Step 5: Solve for x
    x = 26,953,690.47/4,976.82
  6. Step 6: Final answer
    x = 5,415.85

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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.