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Finding the Fourth Proportional to 5,099.44, 7,035 and 2,974.78

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Solution

The fourth proportional to 5,099.44, 7,035 and 2,974.78 is: 4,103.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.44 : 7,035 = 2,974.78 : x
  2. Step 2: Convert to fraction form
    5,099.44/7,035 = 2,974.78/x
  3. Step 3: Cross multiply
    5,099.44x = 7,035 × 2,974.78
  4. Step 4: Simplify right side
    5,099.44x = 20,927,577.30
  5. Step 5: Solve for x
    x = 20,927,577.30/5,099.44
  6. Step 6: Final answer
    x = 4,103.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.