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Finding the Fourth Proportional to 6,046.64, 8,344.74 and 3,393.86

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Solution

The fourth proportional to 6,046.64, 8,344.74 and 3,393.86 is: 4,683.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.64 : 8,344.74 = 3,393.86 : x
  2. Step 2: Convert to fraction form
    6,046.64/8,344.74 = 3,393.86/x
  3. Step 3: Cross multiply
    6,046.64x = 8,344.74 × 3,393.86
  4. Step 4: Simplify right side
    6,046.64x = 28,320,879.30
  5. Step 5: Solve for x
    x = 28,320,879.30/6,046.64
  6. Step 6: Final answer
    x = 4,683.74

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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.