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Finding the Fourth Proportional to 4,871.75, 6,723.41 and 2,881.98

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Solution

The fourth proportional to 4,871.75, 6,723.41 and 2,881.98 is: 3,977.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.75 : 6,723.41 = 2,881.98 : x
  2. Step 2: Convert to fraction form
    4,871.75/6,723.41 = 2,881.98/x
  3. Step 3: Cross multiply
    4,871.75x = 6,723.41 × 2,881.98
  4. Step 4: Simplify right side
    4,871.75x = 19,376,718.74
  5. Step 5: Solve for x
    x = 19,376,718.74/4,871.75
  6. Step 6: Final answer
    x = 3,977.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.