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Finding the Fourth Proportional to 4,806.82, 7,196.46 and 4,345.54

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Solution

The fourth proportional to 4,806.82, 7,196.46 and 4,345.54 is: 6,505.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.82 : 7,196.46 = 4,345.54 : x
  2. Step 2: Convert to fraction form
    4,806.82/7,196.46 = 4,345.54/x
  3. Step 3: Cross multiply
    4,806.82x = 7,196.46 × 4,345.54
  4. Step 4: Simplify right side
    4,806.82x = 31,272,504.79
  5. Step 5: Solve for x
    x = 31,272,504.79/4,806.82
  6. Step 6: Final answer
    x = 6,505.86

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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.