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Finding the Fourth Proportional to 4,963.92, 6,848.46 and 2,866.92

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Solution

The fourth proportional to 4,963.92, 6,848.46 and 2,866.92 is: 3,955.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.92 : 6,848.46 = 2,866.92 : x
  2. Step 2: Convert to fraction form
    4,963.92/6,848.46 = 2,866.92/x
  3. Step 3: Cross multiply
    4,963.92x = 6,848.46 × 2,866.92
  4. Step 4: Simplify right side
    4,963.92x = 19,633,986.94
  5. Step 5: Solve for x
    x = 19,633,986.94/4,963.92
  6. Step 6: Final answer
    x = 3,955.34

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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.