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Finding the Fourth Proportional to 4,995.75, 6,894.34 and 2,871.95

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Solution

The fourth proportional to 4,995.75, 6,894.34 and 2,871.95 is: 3,963.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,995.75 : 6,894.34 = 2,871.95 : x
  2. Step 2: Convert to fraction form
    4,995.75/6,894.34 = 2,871.95/x
  3. Step 3: Cross multiply
    4,995.75x = 6,894.34 × 2,871.95
  4. Step 4: Simplify right side
    4,995.75x = 19,800,150.93
  5. Step 5: Solve for x
    x = 19,800,150.93/4,995.75
  6. Step 6: Final answer
    x = 3,963.40

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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.