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Finding the Fourth Proportional to 6,061.92, 8,365.38 and 3,409.35

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Solution

The fourth proportional to 6,061.92, 8,365.38 and 3,409.35 is: 4,704.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,061.92 : 8,365.38 = 3,409.35 : x
  2. Step 2: Convert to fraction form
    6,061.92/8,365.38 = 3,409.35/x
  3. Step 3: Cross multiply
    6,061.92x = 8,365.38 × 3,409.35
  4. Step 4: Simplify right side
    6,061.92x = 28,520,508.30
  5. Step 5: Solve for x
    x = 28,520,508.30/6,061.92
  6. Step 6: Final answer
    x = 4,704.86

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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.