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Finding the Fourth Proportional to 3,365.82, 4,645.60 and 2,184.84

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Solution

The fourth proportional to 3,365.82, 4,645.60 and 2,184.84 is: 3,015.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.82 : 4,645.60 = 2,184.84 : x
  2. Step 2: Convert to fraction form
    3,365.82/4,645.60 = 2,184.84/x
  3. Step 3: Cross multiply
    3,365.82x = 4,645.60 × 2,184.84
  4. Step 4: Simplify right side
    3,365.82x = 10,149,887.24
  5. Step 5: Solve for x
    x = 10,149,887.24/3,365.82
  6. Step 6: Final answer
    x = 3,015.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.