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Finding the Fourth Proportional to 4,471.86, 6,696.42 and 3,739.62

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Solution

The fourth proportional to 4,471.86, 6,696.42 and 3,739.62 is: 5,599.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.86 : 6,696.42 = 3,739.62 : x
  2. Step 2: Convert to fraction form
    4,471.86/6,696.42 = 3,739.62/x
  3. Step 3: Cross multiply
    4,471.86x = 6,696.42 × 3,739.62
  4. Step 4: Simplify right side
    4,471.86x = 25,042,066.16
  5. Step 5: Solve for x
    x = 25,042,066.16/4,471.86
  6. Step 6: Final answer
    x = 5,599.92

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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.