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Finding the Fourth Proportional to 4,942.70, 7,411.65 and 2,749.10

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Solution

The fourth proportional to 4,942.70, 7,411.65 and 2,749.10 is: 4,122.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.70 : 7,411.65 = 2,749.10 : x
  2. Step 2: Convert to fraction form
    4,942.70/7,411.65 = 2,749.10/x
  3. Step 3: Cross multiply
    4,942.70x = 7,411.65 × 2,749.10
  4. Step 4: Simplify right side
    4,942.70x = 20,375,367.02
  5. Step 5: Solve for x
    x = 20,375,367.02/4,942.70
  6. Step 6: Final answer
    x = 4,122.32

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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.