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Finding the Fourth Proportional to 4,896.60, 7,346.15 and 2,122.62

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Solution

The fourth proportional to 4,896.60, 7,346.15 and 2,122.62 is: 3,184.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.60 : 7,346.15 = 2,122.62 : x
  2. Step 2: Convert to fraction form
    4,896.60/7,346.15 = 2,122.62/x
  3. Step 3: Cross multiply
    4,896.60x = 7,346.15 × 2,122.62
  4. Step 4: Simplify right side
    4,896.60x = 15,593,084.91
  5. Step 5: Solve for x
    x = 15,593,084.91/4,896.60
  6. Step 6: Final answer
    x = 3,184.47

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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.