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Finding the Fourth Proportional to 2,656.75, 3,957.06 and 2,517.97

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Solution

The fourth proportional to 2,656.75, 3,957.06 and 2,517.97 is: 3,750.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.75 : 3,957.06 = 2,517.97 : x
  2. Step 2: Convert to fraction form
    2,656.75/3,957.06 = 2,517.97/x
  3. Step 3: Cross multiply
    2,656.75x = 3,957.06 × 2,517.97
  4. Step 4: Simplify right side
    2,656.75x = 9,963,758.37
  5. Step 5: Solve for x
    x = 9,963,758.37/2,656.75
  6. Step 6: Final answer
    x = 3,750.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.