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Finding the Fourth Proportional to 3,896.76, 5,840.12 and 1,428.64

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Solution

The fourth proportional to 3,896.76, 5,840.12 and 1,428.64 is: 2,141.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.76 : 5,840.12 = 1,428.64 : x
  2. Step 2: Convert to fraction form
    3,896.76/5,840.12 = 1,428.64/x
  3. Step 3: Cross multiply
    3,896.76x = 5,840.12 × 1,428.64
  4. Step 4: Simplify right side
    3,896.76x = 8,343,429.04
  5. Step 5: Solve for x
    x = 8,343,429.04/3,896.76
  6. Step 6: Final answer
    x = 2,141.12

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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.