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Finding the Fourth Proportional to 6,071.80, 8,379.48 and 3,418.96

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Solution

The fourth proportional to 6,071.80, 8,379.48 and 3,418.96 is: 4,718.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.80 : 8,379.48 = 3,418.96 : x
  2. Step 2: Convert to fraction form
    6,071.80/8,379.48 = 3,418.96/x
  3. Step 3: Cross multiply
    6,071.80x = 8,379.48 × 3,418.96
  4. Step 4: Simplify right side
    6,071.80x = 28,649,106.94
  5. Step 5: Solve for x
    x = 28,649,106.94/6,071.80
  6. Step 6: Final answer
    x = 4,718.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.