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Finding the Fourth Proportional to 4,859.28, 6,705.48 and 2,871

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Solution

The fourth proportional to 4,859.28, 6,705.48 and 2,871 is: 3,961.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859.28 : 6,705.48 = 2,871 : x
  2. Step 2: Convert to fraction form
    4,859.28/6,705.48 = 2,871/x
  3. Step 3: Cross multiply
    4,859.28x = 6,705.48 × 2,871
  4. Step 4: Simplify right side
    4,859.28x = 19,251,433.08
  5. Step 5: Solve for x
    x = 19,251,433.08/4,859.28
  6. Step 6: Final answer
    x = 3,961.79

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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.