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Finding the Fourth Proportional to 5,739.32, 8,612.85 and 2,041.61

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Solution

The fourth proportional to 5,739.32, 8,612.85 and 2,041.61 is: 3,063.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.32 : 8,612.85 = 2,041.61 : x
  2. Step 2: Convert to fraction form
    5,739.32/8,612.85 = 2,041.61/x
  3. Step 3: Cross multiply
    5,739.32x = 8,612.85 × 2,041.61
  4. Step 4: Simplify right side
    5,739.32x = 17,584,037.62
  5. Step 5: Solve for x
    x = 17,584,037.62/5,739.32
  6. Step 6: Final answer
    x = 3,063.79

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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.