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Finding the Fourth Proportional to 3,633.63, 5,410.25 and 3,484.19

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Solution

The fourth proportional to 3,633.63, 5,410.25 and 3,484.19 is: 5,187.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.63 : 5,410.25 = 3,484.19 : x
  2. Step 2: Convert to fraction form
    3,633.63/5,410.25 = 3,484.19/x
  3. Step 3: Cross multiply
    3,633.63x = 5,410.25 × 3,484.19
  4. Step 4: Simplify right side
    3,633.63x = 18,850,294.48
  5. Step 5: Solve for x
    x = 18,850,294.48/3,633.63
  6. Step 6: Final answer
    x = 5,187.73

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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.