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Finding the Fourth Proportional to 3,536.54, 5,306.34 and 1,687.67

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Solution

The fourth proportional to 3,536.54, 5,306.34 and 1,687.67 is: 2,532.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.54 : 5,306.34 = 1,687.67 : x
  2. Step 2: Convert to fraction form
    3,536.54/5,306.34 = 1,687.67/x
  3. Step 3: Cross multiply
    3,536.54x = 5,306.34 × 1,687.67
  4. Step 4: Simplify right side
    3,536.54x = 8,955,350.83
  5. Step 5: Solve for x
    x = 8,955,350.83/3,536.54
  6. Step 6: Final answer
    x = 2,532.24

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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.