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Finding the Fourth Proportional to 3,837.63, 5,296.06 and 2,346.22

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Solution

The fourth proportional to 3,837.63, 5,296.06 and 2,346.22 is: 3,237.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.63 : 5,296.06 = 2,346.22 : x
  2. Step 2: Convert to fraction form
    3,837.63/5,296.06 = 2,346.22/x
  3. Step 3: Cross multiply
    3,837.63x = 5,296.06 × 2,346.22
  4. Step 4: Simplify right side
    3,837.63x = 12,425,721.89
  5. Step 5: Solve for x
    x = 12,425,721.89/3,837.63
  6. Step 6: Final answer
    x = 3,237.86

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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.