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Finding the Fourth Proportional to 3,633.37, 5,447.70 and 1,656.97

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Solution

The fourth proportional to 3,633.37, 5,447.70 and 1,656.97 is: 2,484.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.37 : 5,447.70 = 1,656.97 : x
  2. Step 2: Convert to fraction form
    3,633.37/5,447.70 = 1,656.97/x
  3. Step 3: Cross multiply
    3,633.37x = 5,447.70 × 1,656.97
  4. Step 4: Simplify right side
    3,633.37x = 9,026,661.85
  5. Step 5: Solve for x
    x = 9,026,661.85/3,633.37
  6. Step 6: Final answer
    x = 2,484.38

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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.