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Finding the Fourth Proportional to 4,138.30, 6,207.45 and 3,946.30

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Solution

The fourth proportional to 4,138.30, 6,207.45 and 3,946.30 is: 5,919.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.30 : 6,207.45 = 3,946.30 : x
  2. Step 2: Convert to fraction form
    4,138.30/6,207.45 = 3,946.30/x
  3. Step 3: Cross multiply
    4,138.30x = 6,207.45 × 3,946.30
  4. Step 4: Simplify right side
    4,138.30x = 24,496,459.94
  5. Step 5: Solve for x
    x = 24,496,459.94/4,138.30
  6. Step 6: Final answer
    x = 5,919.45

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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.