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Finding the Fourth Proportional to 4,472.80, 6,702.80 and 3,293.60

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Solution

The fourth proportional to 4,472.80, 6,702.80 and 3,293.60 is: 4,935.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.80 : 6,702.80 = 3,293.60 : x
  2. Step 2: Convert to fraction form
    4,472.80/6,702.80 = 3,293.60/x
  3. Step 3: Cross multiply
    4,472.80x = 6,702.80 × 3,293.60
  4. Step 4: Simplify right side
    4,472.80x = 22,076,342.08
  5. Step 5: Solve for x
    x = 22,076,342.08/4,472.80
  6. Step 6: Final answer
    x = 4,935.69

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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.