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Finding the Fourth Proportional to 4,896.16, 7,344.24 and 1,817.44

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Solution

The fourth proportional to 4,896.16, 7,344.24 and 1,817.44 is: 2,726.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.16 : 7,344.24 = 1,817.44 : x
  2. Step 2: Convert to fraction form
    4,896.16/7,344.24 = 1,817.44/x
  3. Step 3: Cross multiply
    4,896.16x = 7,344.24 × 1,817.44
  4. Step 4: Simplify right side
    4,896.16x = 13,347,715.55
  5. Step 5: Solve for x
    x = 13,347,715.55/4,896.16
  6. Step 6: Final answer
    x = 2,726.16

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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.