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Finding the Fourth Proportional to 3,537.64, 5,305.77 and 3,362.02

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Solution

The fourth proportional to 3,537.64, 5,305.77 and 3,362.02 is: 5,042.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.64 : 5,305.77 = 3,362.02 : x
  2. Step 2: Convert to fraction form
    3,537.64/5,305.77 = 3,362.02/x
  3. Step 3: Cross multiply
    3,537.64x = 5,305.77 × 3,362.02
  4. Step 4: Simplify right side
    3,537.64x = 17,838,104.86
  5. Step 5: Solve for x
    x = 17,838,104.86/3,537.64
  6. Step 6: Final answer
    x = 5,042.37

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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.