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Finding the Fourth Proportional to 3,896.11, 5,842 and 1,297.63

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Solution

The fourth proportional to 3,896.11, 5,842 and 1,297.63 is: 1,945.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.11 : 5,842 = 1,297.63 : x
  2. Step 2: Convert to fraction form
    3,896.11/5,842 = 1,297.63/x
  3. Step 3: Cross multiply
    3,896.11x = 5,842 × 1,297.63
  4. Step 4: Simplify right side
    3,896.11x = 7,580,754.46
  5. Step 5: Solve for x
    x = 7,580,754.46/3,896.11
  6. Step 6: Final answer
    x = 1,945.72

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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.