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Finding the Fourth Proportional to 4,138.44, 6,184.02 and 3,145.80

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Solution

The fourth proportional to 4,138.44, 6,184.02 and 3,145.80 is: 4,700.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.44 : 6,184.02 = 3,145.80 : x
  2. Step 2: Convert to fraction form
    4,138.44/6,184.02 = 3,145.80/x
  3. Step 3: Cross multiply
    4,138.44x = 6,184.02 × 3,145.80
  4. Step 4: Simplify right side
    4,138.44x = 19,453,690.12
  5. Step 5: Solve for x
    x = 19,453,690.12/4,138.44
  6. Step 6: Final answer
    x = 4,700.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.