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Finding the Fourth Proportional to 6,046.63, 8,344.74 and 3,394.22

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Solution

The fourth proportional to 6,046.63, 8,344.74 and 3,394.22 is: 4,684.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.63 : 8,344.74 = 3,394.22 : x
  2. Step 2: Convert to fraction form
    6,046.63/8,344.74 = 3,394.22/x
  3. Step 3: Cross multiply
    6,046.63x = 8,344.74 × 3,394.22
  4. Step 4: Simplify right side
    6,046.63x = 28,323,883.40
  5. Step 5: Solve for x
    x = 28,323,883.40/6,046.63
  6. Step 6: Final answer
    x = 4,684.24

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