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Finding the Fourth Proportional to 3,736.36, 5,597.82 and 3,006.28

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Solution

The fourth proportional to 3,736.36, 5,597.82 and 3,006.28 is: 4,504.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.36 : 5,597.82 = 3,006.28 : x
  2. Step 2: Convert to fraction form
    3,736.36/5,597.82 = 3,006.28/x
  3. Step 3: Cross multiply
    3,736.36x = 5,597.82 × 3,006.28
  4. Step 4: Simplify right side
    3,736.36x = 16,828,614.31
  5. Step 5: Solve for x
    x = 16,828,614.31/3,736.36
  6. Step 6: Final answer
    x = 4,504.01

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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.