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Finding the Fourth Proportional to 4,093.69, 6,142.35 and 2,145.43

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Solution

The fourth proportional to 4,093.69, 6,142.35 and 2,145.43 is: 3,219.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.69 : 6,142.35 = 2,145.43 : x
  2. Step 2: Convert to fraction form
    4,093.69/6,142.35 = 2,145.43/x
  3. Step 3: Cross multiply
    4,093.69x = 6,142.35 × 2,145.43
  4. Step 4: Simplify right side
    4,093.69x = 13,177,981.96
  5. Step 5: Solve for x
    x = 13,177,981.96/4,093.69
  6. Step 6: Final answer
    x = 3,219.10

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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.