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Finding the Fourth Proportional to 5,798.25, 8,685.86 and 2,867.61

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Solution

The fourth proportional to 5,798.25, 8,685.86 and 2,867.61 is: 4,295.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.25 : 8,685.86 = 2,867.61 : x
  2. Step 2: Convert to fraction form
    5,798.25/8,685.86 = 2,867.61/x
  3. Step 3: Cross multiply
    5,798.25x = 8,685.86 × 2,867.61
  4. Step 4: Simplify right side
    5,798.25x = 24,907,644.66
  5. Step 5: Solve for x
    x = 24,907,644.66/5,798.25
  6. Step 6: Final answer
    x = 4,295.72

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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.