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Finding the Fourth Proportional to 3,684.83, 5,505.94 and 3,101.63

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Solution

The fourth proportional to 3,684.83, 5,505.94 and 3,101.63 is: 4,634.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.83 : 5,505.94 = 3,101.63 : x
  2. Step 2: Convert to fraction form
    3,684.83/5,505.94 = 3,101.63/x
  3. Step 3: Cross multiply
    3,684.83x = 5,505.94 × 3,101.63
  4. Step 4: Simplify right side
    3,684.83x = 17,077,365.03
  5. Step 5: Solve for x
    x = 17,077,365.03/3,684.83
  6. Step 6: Final answer
    x = 4,634.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.