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Finding the Fourth Proportional to 3,477.69, 4,799.22 and 1,884.36

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Solution

The fourth proportional to 3,477.69, 4,799.22 and 1,884.36 is: 2,600.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.69 : 4,799.22 = 1,884.36 : x
  2. Step 2: Convert to fraction form
    3,477.69/4,799.22 = 1,884.36/x
  3. Step 3: Cross multiply
    3,477.69x = 4,799.22 × 1,884.36
  4. Step 4: Simplify right side
    3,477.69x = 9,043,458.20
  5. Step 5: Solve for x
    x = 9,043,458.20/3,477.69
  6. Step 6: Final answer
    x = 2,600.42

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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.