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Finding the Fourth Proportional to 3,206.39, 4,801.41 and 2,714.32

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Solution

The fourth proportional to 3,206.39, 4,801.41 and 2,714.32 is: 4,064.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.39 : 4,801.41 = 2,714.32 : x
  2. Step 2: Convert to fraction form
    3,206.39/4,801.41 = 2,714.32/x
  3. Step 3: Cross multiply
    3,206.39x = 4,801.41 × 2,714.32
  4. Step 4: Simplify right side
    3,206.39x = 13,032,563.19
  5. Step 5: Solve for x
    x = 13,032,563.19/3,206.39
  6. Step 6: Final answer
    x = 4,064.56

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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.