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Finding the Fourth Proportional to 4,602.42, 6,352.92 and 2,834.46

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Solution

The fourth proportional to 4,602.42, 6,352.92 and 2,834.46 is: 3,912.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.42 : 6,352.92 = 2,834.46 : x
  2. Step 2: Convert to fraction form
    4,602.42/6,352.92 = 2,834.46/x
  3. Step 3: Cross multiply
    4,602.42x = 6,352.92 × 2,834.46
  4. Step 4: Simplify right side
    4,602.42x = 18,007,097.62
  5. Step 5: Solve for x
    x = 18,007,097.62/4,602.42
  6. Step 6: Final answer
    x = 3,912.53

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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.