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Finding the Fourth Proportional to 3,707.74, 5,563.80 and 1,369.38

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Solution

The fourth proportional to 3,707.74, 5,563.80 and 1,369.38 is: 2,054.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.74 : 5,563.80 = 1,369.38 : x
  2. Step 2: Convert to fraction form
    3,707.74/5,563.80 = 1,369.38/x
  3. Step 3: Cross multiply
    3,707.74x = 5,563.80 × 1,369.38
  4. Step 4: Simplify right side
    3,707.74x = 7,618,956.44
  5. Step 5: Solve for x
    x = 7,618,956.44/3,707.74
  6. Step 6: Final answer
    x = 2,054.88

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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.