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Finding the Fourth Proportional to 3,669.39, 5,504.26 and 1,477.82

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Solution

The fourth proportional to 3,669.39, 5,504.26 and 1,477.82 is: 2,216.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.39 : 5,504.26 = 1,477.82 : x
  2. Step 2: Convert to fraction form
    3,669.39/5,504.26 = 1,477.82/x
  3. Step 3: Cross multiply
    3,669.39x = 5,504.26 × 1,477.82
  4. Step 4: Simplify right side
    3,669.39x = 8,134,288.06
  5. Step 5: Solve for x
    x = 8,134,288.06/3,669.39
  6. Step 6: Final answer
    x = 2,216.80

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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.