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Finding the Fourth Proportional to 4,963.95, 6,850.02 and 2,975.61

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Solution

The fourth proportional to 4,963.95, 6,850.02 and 2,975.61 is: 4,106.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.95 : 6,850.02 = 2,975.61 : x
  2. Step 2: Convert to fraction form
    4,963.95/6,850.02 = 2,975.61/x
  3. Step 3: Cross multiply
    4,963.95x = 6,850.02 × 2,975.61
  4. Step 4: Simplify right side
    4,963.95x = 20,382,988.01
  5. Step 5: Solve for x
    x = 20,382,988.01/4,963.95
  6. Step 6: Final answer
    x = 4,106.20

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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.