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Finding the Fourth Proportional to 4,094.70, 6,138.45 and 2,451.90

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Solution

The fourth proportional to 4,094.70, 6,138.45 and 2,451.90 is: 3,675.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094.70 : 6,138.45 = 2,451.90 : x
  2. Step 2: Convert to fraction form
    4,094.70/6,138.45 = 2,451.90/x
  3. Step 3: Cross multiply
    4,094.70x = 6,138.45 × 2,451.90
  4. Step 4: Simplify right side
    4,094.70x = 15,050,865.56
  5. Step 5: Solve for x
    x = 15,050,865.56/4,094.70
  6. Step 6: Final answer
    x = 3,675.69

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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.