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Finding the Fourth Proportional to 5,695.48, 8,536.72 and 2,611

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Solution

The fourth proportional to 5,695.48, 8,536.72 and 2,611 is: 3,913.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.48 : 8,536.72 = 2,611 : x
  2. Step 2: Convert to fraction form
    5,695.48/8,536.72 = 2,611/x
  3. Step 3: Cross multiply
    5,695.48x = 8,536.72 × 2,611
  4. Step 4: Simplify right side
    5,695.48x = 22,289,375.92
  5. Step 5: Solve for x
    x = 22,289,375.92/5,695.48
  6. Step 6: Final answer
    x = 3,913.52

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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.