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Finding the Fourth Proportional to 4,806.78, 7,235.68 and 3,429.66

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Solution

The fourth proportional to 4,806.78, 7,235.68 and 3,429.66 is: 5,162.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.78 : 7,235.68 = 3,429.66 : x
  2. Step 2: Convert to fraction form
    4,806.78/7,235.68 = 3,429.66/x
  3. Step 3: Cross multiply
    4,806.78x = 7,235.68 × 3,429.66
  4. Step 4: Simplify right side
    4,806.78x = 24,815,922.27
  5. Step 5: Solve for x
    x = 24,815,922.27/4,806.78
  6. Step 6: Final answer
    x = 5,162.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.