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Finding the Fourth Proportional to 4,690.91, 6,466.01 and 3,694.61

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Solution

The fourth proportional to 4,690.91, 6,466.01 and 3,694.61 is: 5,092.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.91 : 6,466.01 = 3,694.61 : x
  2. Step 2: Convert to fraction form
    4,690.91/6,466.01 = 3,694.61/x
  3. Step 3: Cross multiply
    4,690.91x = 6,466.01 × 3,694.61
  4. Step 4: Simplify right side
    4,690.91x = 23,889,334.40
  5. Step 5: Solve for x
    x = 23,889,334.40/4,690.91
  6. Step 6: Final answer
    x = 5,092.69

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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.