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Finding the Fourth Proportional to 3,536.39, 5,305.80 and 1,196.64

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Solution

The fourth proportional to 3,536.39, 5,305.80 and 1,196.64 is: 1,795.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.39 : 5,305.80 = 1,196.64 : x
  2. Step 2: Convert to fraction form
    3,536.39/5,305.80 = 1,196.64/x
  3. Step 3: Cross multiply
    3,536.39x = 5,305.80 × 1,196.64
  4. Step 4: Simplify right side
    3,536.39x = 6,349,137.00
  5. Step 5: Solve for x
    x = 6,349,137.00/3,536.39
  6. Step 6: Final answer
    x = 1,795.37

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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.