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Finding the Fourth Proportional to 3,694.41, 5,541.89 and 1,230.93

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Solution

The fourth proportional to 3,694.41, 5,541.89 and 1,230.93 is: 1,846.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.41 : 5,541.89 = 1,230.93 : x
  2. Step 2: Convert to fraction form
    3,694.41/5,541.89 = 1,230.93/x
  3. Step 3: Cross multiply
    3,694.41x = 5,541.89 × 1,230.93
  4. Step 4: Simplify right side
    3,694.41x = 6,821,672.50
  5. Step 5: Solve for x
    x = 6,821,672.50/3,694.41
  6. Step 6: Final answer
    x = 1,846.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.