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Finding the Fourth Proportional to 3,541.86, 4,867.25 and 3,379.25

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Solution

The fourth proportional to 3,541.86, 4,867.25 and 3,379.25 is: 4,643.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.86 : 4,867.25 = 3,379.25 : x
  2. Step 2: Convert to fraction form
    3,541.86/4,867.25 = 3,379.25/x
  3. Step 3: Cross multiply
    3,541.86x = 4,867.25 × 3,379.25
  4. Step 4: Simplify right side
    3,541.86x = 16,447,649.83
  5. Step 5: Solve for x
    x = 16,447,649.83/3,541.86
  6. Step 6: Final answer
    x = 4,643.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.