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Finding the Fourth Proportional to 2,715.42, 3,747.31 and 1,536.47

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Solution

The fourth proportional to 2,715.42, 3,747.31 and 1,536.47 is: 2,120.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.42 : 3,747.31 = 1,536.47 : x
  2. Step 2: Convert to fraction form
    2,715.42/3,747.31 = 1,536.47/x
  3. Step 3: Cross multiply
    2,715.42x = 3,747.31 × 1,536.47
  4. Step 4: Simplify right side
    2,715.42x = 5,757,629.51
  5. Step 5: Solve for x
    x = 5,757,629.51/2,715.42
  6. Step 6: Final answer
    x = 2,120.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.