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Finding the Fourth Proportional to 6,046.08, 8,344 and 3,393.96

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Solution

The fourth proportional to 6,046.08, 8,344 and 3,393.96 is: 4,683.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.08 : 8,344 = 3,393.96 : x
  2. Step 2: Convert to fraction form
    6,046.08/8,344 = 3,393.96/x
  3. Step 3: Cross multiply
    6,046.08x = 8,344 × 3,393.96
  4. Step 4: Simplify right side
    6,046.08x = 28,319,202.24
  5. Step 5: Solve for x
    x = 28,319,202.24/6,046.08
  6. Step 6: Final answer
    x = 4,683.89

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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.