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Finding the Fourth Proportional to 3,896.51, 5,375.92 and 2,303.22

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Solution

The fourth proportional to 3,896.51, 5,375.92 and 2,303.22 is: 3,177.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.51 : 5,375.92 = 2,303.22 : x
  2. Step 2: Convert to fraction form
    3,896.51/5,375.92 = 2,303.22/x
  3. Step 3: Cross multiply
    3,896.51x = 5,375.92 × 2,303.22
  4. Step 4: Simplify right side
    3,896.51x = 12,381,914.95
  5. Step 5: Solve for x
    x = 12,381,914.95/3,896.51
  6. Step 6: Final answer
    x = 3,177.69

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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.