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Finding the Fourth Proportional to 4,714.14, 7,073.10 and 1,942.19

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Solution

The fourth proportional to 4,714.14, 7,073.10 and 1,942.19 is: 2,914.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.14 : 7,073.10 = 1,942.19 : x
  2. Step 2: Convert to fraction form
    4,714.14/7,073.10 = 1,942.19/x
  3. Step 3: Cross multiply
    4,714.14x = 7,073.10 × 1,942.19
  4. Step 4: Simplify right side
    4,714.14x = 13,737,268.72
  5. Step 5: Solve for x
    x = 13,737,268.72/4,714.14
  6. Step 6: Final answer
    x = 2,914.06

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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.