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Finding the Fourth Proportional to 3,769.41, 5,647.29 and 1,574.31

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Solution

The fourth proportional to 3,769.41, 5,647.29 and 1,574.31 is: 2,358.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.41 : 5,647.29 = 1,574.31 : x
  2. Step 2: Convert to fraction form
    3,769.41/5,647.29 = 1,574.31/x
  3. Step 3: Cross multiply
    3,769.41x = 5,647.29 × 1,574.31
  4. Step 4: Simplify right side
    3,769.41x = 8,890,585.12
  5. Step 5: Solve for x
    x = 8,890,585.12/3,769.41
  6. Step 6: Final answer
    x = 2,358.61

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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.