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Finding the Fourth Proportional to 4,149.97, 6,225.86 and 1,957.50

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Solution

The fourth proportional to 4,149.97, 6,225.86 and 1,957.50 is: 2,936.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.97 : 6,225.86 = 1,957.50 : x
  2. Step 2: Convert to fraction form
    4,149.97/6,225.86 = 1,957.50/x
  3. Step 3: Cross multiply
    4,149.97x = 6,225.86 × 1,957.50
  4. Step 4: Simplify right side
    4,149.97x = 12,187,125.84
  5. Step 5: Solve for x
    x = 12,187,125.84/4,149.97
  6. Step 6: Final answer
    x = 2,936.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.