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Finding the Fourth Proportional to 4,965.93, 6,853.83 and 2,871.27

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Solution

The fourth proportional to 4,965.93, 6,853.83 and 2,871.27 is: 3,962.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.93 : 6,853.83 = 2,871.27 : x
  2. Step 2: Convert to fraction form
    4,965.93/6,853.83 = 2,871.27/x
  3. Step 3: Cross multiply
    4,965.93x = 6,853.83 × 2,871.27
  4. Step 4: Simplify right side
    4,965.93x = 19,679,196.46
  5. Step 5: Solve for x
    x = 19,679,196.46/4,965.93
  6. Step 6: Final answer
    x = 3,962.84

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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.