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Finding the Fourth Proportional to 4,806.64, 7,197.91 and 3,046.31

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Solution

The fourth proportional to 4,806.64, 7,197.91 and 3,046.31 is: 4,561.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.64 : 7,197.91 = 3,046.31 : x
  2. Step 2: Convert to fraction form
    4,806.64/7,197.91 = 3,046.31/x
  3. Step 3: Cross multiply
    4,806.64x = 7,197.91 × 3,046.31
  4. Step 4: Simplify right side
    4,806.64x = 21,927,065.73
  5. Step 5: Solve for x
    x = 21,927,065.73/4,806.64
  6. Step 6: Final answer
    x = 4,561.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.