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Finding the Fourth Proportional to 4,702.75, 7,053.90 and 1,192.85

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Solution

The fourth proportional to 4,702.75, 7,053.90 and 1,192.85 is: 1,789.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.75 : 7,053.90 = 1,192.85 : x
  2. Step 2: Convert to fraction form
    4,702.75/7,053.90 = 1,192.85/x
  3. Step 3: Cross multiply
    4,702.75x = 7,053.90 × 1,192.85
  4. Step 4: Simplify right side
    4,702.75x = 8,414,244.62
  5. Step 5: Solve for x
    x = 8,414,244.62/4,702.75
  6. Step 6: Final answer
    x = 1,789.22

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