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Finding the Fourth Proportional to 3,536.04, 5,305.59 and 1,687.17

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Solution

The fourth proportional to 3,536.04, 5,305.59 and 1,687.17 is: 2,531.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.04 : 5,305.59 = 1,687.17 : x
  2. Step 2: Convert to fraction form
    3,536.04/5,305.59 = 1,687.17/x
  3. Step 3: Cross multiply
    3,536.04x = 5,305.59 × 1,687.17
  4. Step 4: Simplify right side
    3,536.04x = 8,951,432.28
  5. Step 5: Solve for x
    x = 8,951,432.28/3,536.04
  6. Step 6: Final answer
    x = 2,531.49

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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.