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Finding the Fourth Proportional to 3,662.57, 5,496.57 and 2,103.32

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Solution

The fourth proportional to 3,662.57, 5,496.57 and 2,103.32 is: 3,156.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.57 : 5,496.57 = 2,103.32 : x
  2. Step 2: Convert to fraction form
    3,662.57/5,496.57 = 2,103.32/x
  3. Step 3: Cross multiply
    3,662.57x = 5,496.57 × 2,103.32
  4. Step 4: Simplify right side
    3,662.57x = 11,561,018.13
  5. Step 5: Solve for x
    x = 11,561,018.13/3,662.57
  6. Step 6: Final answer
    x = 3,156.54

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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.