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Finding the Fourth Proportional to 4,871.44, 6,721 and 2,981.05

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Solution

The fourth proportional to 4,871.44, 6,721 and 2,981.05 is: 4,112.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.44 : 6,721 = 2,981.05 : x
  2. Step 2: Convert to fraction form
    4,871.44/6,721 = 2,981.05/x
  3. Step 3: Cross multiply
    4,871.44x = 6,721 × 2,981.05
  4. Step 4: Simplify right side
    4,871.44x = 20,035,637.05
  5. Step 5: Solve for x
    x = 20,035,637.05/4,871.44
  6. Step 6: Final answer
    x = 4,112.88

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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.