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Finding the Fourth Proportional to 3,536.52, 5,305.32 and 1,687.56

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Solution

The fourth proportional to 3,536.52, 5,305.32 and 1,687.56 is: 2,531.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.52 : 5,305.32 = 1,687.56 : x
  2. Step 2: Convert to fraction form
    3,536.52/5,305.32 = 1,687.56/x
  3. Step 3: Cross multiply
    3,536.52x = 5,305.32 × 1,687.56
  4. Step 4: Simplify right side
    3,536.52x = 8,953,045.82
  5. Step 5: Solve for x
    x = 8,953,045.82/3,536.52
  6. Step 6: Final answer
    x = 2,531.60

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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.