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Finding the Fourth Proportional to 3,801.39, 5,697.42 and 2,159.31

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Solution

The fourth proportional to 3,801.39, 5,697.42 and 2,159.31 is: 3,236.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.39 : 5,697.42 = 2,159.31 : x
  2. Step 2: Convert to fraction form
    3,801.39/5,697.42 = 2,159.31/x
  3. Step 3: Cross multiply
    3,801.39x = 5,697.42 × 2,159.31
  4. Step 4: Simplify right side
    3,801.39x = 12,302,495.98
  5. Step 5: Solve for x
    x = 12,302,495.98/3,801.39
  6. Step 6: Final answer
    x = 3,236.32

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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.