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Finding the Fourth Proportional to 4,702.56, 7,053.84 and 1,192.83

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Solution

The fourth proportional to 4,702.56, 7,053.84 and 1,192.83 is: 1,789.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.56 : 7,053.84 = 1,192.83 : x
  2. Step 2: Convert to fraction form
    4,702.56/7,053.84 = 1,192.83/x
  3. Step 3: Cross multiply
    4,702.56x = 7,053.84 × 1,192.83
  4. Step 4: Simplify right side
    4,702.56x = 8,414,060.35
  5. Step 5: Solve for x
    x = 8,414,060.35/4,702.56
  6. Step 6: Final answer
    x = 1,789.25

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Similar ratio
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1.5x scale

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.