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Finding the Fourth Proportional to 3,640.52, 5,458.46 and 1,693.32

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Solution

The fourth proportional to 3,640.52, 5,458.46 and 1,693.32 is: 2,538.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.52 : 5,458.46 = 1,693.32 : x
  2. Step 2: Convert to fraction form
    3,640.52/5,458.46 = 1,693.32/x
  3. Step 3: Cross multiply
    3,640.52x = 5,458.46 × 1,693.32
  4. Step 4: Simplify right side
    3,640.52x = 9,242,919.49
  5. Step 5: Solve for x
    x = 9,242,919.49/3,640.52
  6. Step 6: Final answer
    x = 2,538.90

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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.