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Finding the Fourth Proportional to 5,629.64, 8,448.48 and 2,709.56

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Solution

The fourth proportional to 5,629.64, 8,448.48 and 2,709.56 is: 4,066.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629.64 : 8,448.48 = 2,709.56 : x
  2. Step 2: Convert to fraction form
    5,629.64/8,448.48 = 2,709.56/x
  3. Step 3: Cross multiply
    5,629.64x = 8,448.48 × 2,709.56
  4. Step 4: Simplify right side
    5,629.64x = 22,891,663.47
  5. Step 5: Solve for x
    x = 22,891,663.47/5,629.64
  6. Step 6: Final answer
    x = 4,066.27

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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.