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Finding the Fourth Proportional to 4,340.72, 6,506.96 and 3,942.95

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Solution

The fourth proportional to 4,340.72, 6,506.96 and 3,942.95 is: 5,910.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340.72 : 6,506.96 = 3,942.95 : x
  2. Step 2: Convert to fraction form
    4,340.72/6,506.96 = 3,942.95/x
  3. Step 3: Cross multiply
    4,340.72x = 6,506.96 × 3,942.95
  4. Step 4: Simplify right side
    4,340.72x = 25,656,598.22
  5. Step 5: Solve for x
    x = 25,656,598.22/4,340.72
  6. Step 6: Final answer
    x = 5,910.68

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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.