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Finding the Fourth Proportional to 5,729.58, 8,593 and 4,187.74

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Solution

The fourth proportional to 5,729.58, 8,593 and 4,187.74 is: 6,280.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.58 : 8,593 = 4,187.74 : x
  2. Step 2: Convert to fraction form
    5,729.58/8,593 = 4,187.74/x
  3. Step 3: Cross multiply
    5,729.58x = 8,593 × 4,187.74
  4. Step 4: Simplify right side
    5,729.58x = 35,985,249.82
  5. Step 5: Solve for x
    x = 35,985,249.82/5,729.58
  6. Step 6: Final answer
    x = 6,280.61

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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.