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Finding the Fourth Proportional to 5,695.99, 8,538.90 and 3,064.90

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Solution

The fourth proportional to 5,695.99, 8,538.90 and 3,064.90 is: 4,594.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.99 : 8,538.90 = 3,064.90 : x
  2. Step 2: Convert to fraction form
    5,695.99/8,538.90 = 3,064.90/x
  3. Step 3: Cross multiply
    5,695.99x = 8,538.90 × 3,064.90
  4. Step 4: Simplify right side
    5,695.99x = 26,170,874.61
  5. Step 5: Solve for x
    x = 26,170,874.61/5,695.99
  6. Step 6: Final answer
    x = 4,594.61

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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.