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Finding the Fourth Proportional to 3,656.64, 5,477.09 and 2,092.25

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Solution

The fourth proportional to 3,656.64, 5,477.09 and 2,092.25 is: 3,133.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.64 : 5,477.09 = 2,092.25 : x
  2. Step 2: Convert to fraction form
    3,656.64/5,477.09 = 2,092.25/x
  3. Step 3: Cross multiply
    3,656.64x = 5,477.09 × 2,092.25
  4. Step 4: Simplify right side
    3,656.64x = 11,459,441.55
  5. Step 5: Solve for x
    x = 11,459,441.55/3,656.64
  6. Step 6: Final answer
    x = 3,133.87

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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.