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Finding the Fourth Proportional to 5,689.76, 8,525.34 and 3,493.88

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Solution

The fourth proportional to 5,689.76, 8,525.34 and 3,493.88 is: 5,235.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.76 : 8,525.34 = 3,493.88 : x
  2. Step 2: Convert to fraction form
    5,689.76/8,525.34 = 3,493.88/x
  3. Step 3: Cross multiply
    5,689.76x = 8,525.34 × 3,493.88
  4. Step 4: Simplify right side
    5,689.76x = 29,786,514.92
  5. Step 5: Solve for x
    x = 29,786,514.92/5,689.76
  6. Step 6: Final answer
    x = 5,235.11

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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.