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Finding the Fourth Proportional to 4,714.92, 7,074.66 and 1,942.44

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Solution

The fourth proportional to 4,714.92, 7,074.66 and 1,942.44 is: 2,914.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.92 : 7,074.66 = 1,942.44 : x
  2. Step 2: Convert to fraction form
    4,714.92/7,074.66 = 1,942.44/x
  3. Step 3: Cross multiply
    4,714.92x = 7,074.66 × 1,942.44
  4. Step 4: Simplify right side
    4,714.92x = 13,742,102.57
  5. Step 5: Solve for x
    x = 13,742,102.57/4,714.92
  6. Step 6: Final answer
    x = 2,914.60

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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.