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Finding the Fourth Proportional to 6,702.80, 10,057.80 and 2,807.60

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Solution

The fourth proportional to 6,702.80, 10,057.80 and 2,807.60 is: 4,212.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.80 : 10,057.80 = 2,807.60 : x
  2. Step 2: Convert to fraction form
    6,702.80/10,057.80 = 2,807.60/x
  3. Step 3: Cross multiply
    6,702.80x = 10,057.80 × 2,807.60
  4. Step 4: Simplify right side
    6,702.80x = 28,238,279.28
  5. Step 5: Solve for x
    x = 28,238,279.28/6,702.80
  6. Step 6: Final answer
    x = 4,212.91

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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.