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Finding the Fourth Proportional to 4,295.94, 6,385.98 and 4,169.82

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Solution

The fourth proportional to 4,295.94, 6,385.98 and 4,169.82 is: 6,198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,295.94 : 6,385.98 = 4,169.82 : x
  2. Step 2: Convert to fraction form
    4,295.94/6,385.98 = 4,169.82/x
  3. Step 3: Cross multiply
    4,295.94x = 6,385.98 × 4,169.82
  4. Step 4: Simplify right side
    4,295.94x = 26,628,387.12
  5. Step 5: Solve for x
    x = 26,628,387.12/4,295.94
  6. Step 6: Final answer
    x = 6,198.50

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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.