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Finding the Fourth Proportional to 4,702.12, 7,054.20 and 1,414.96

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Solution

The fourth proportional to 4,702.12, 7,054.20 and 1,414.96 is: 2,122.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.12 : 7,054.20 = 1,414.96 : x
  2. Step 2: Convert to fraction form
    4,702.12/7,054.20 = 1,414.96/x
  3. Step 3: Cross multiply
    4,702.12x = 7,054.20 × 1,414.96
  4. Step 4: Simplify right side
    4,702.12x = 9,981,410.83
  5. Step 5: Solve for x
    x = 9,981,410.83/4,702.12
  6. Step 6: Final answer
    x = 2,122.75

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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.