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Finding the Fourth Proportional to 3,450.08, 4,760.71 and 1,957.70

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Solution

The fourth proportional to 3,450.08, 4,760.71 and 1,957.70 is: 2,701.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.08 : 4,760.71 = 1,957.70 : x
  2. Step 2: Convert to fraction form
    3,450.08/4,760.71 = 1,957.70/x
  3. Step 3: Cross multiply
    3,450.08x = 4,760.71 × 1,957.70
  4. Step 4: Simplify right side
    3,450.08x = 9,320,013.27
  5. Step 5: Solve for x
    x = 9,320,013.27/3,450.08
  6. Step 6: Final answer
    x = 2,701.39

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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.