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Finding the Fourth Proportional to 6,494.05, 8,959.64 and 3,661.08

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Solution

The fourth proportional to 6,494.05, 8,959.64 and 3,661.08 is: 5,051.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.05 : 8,959.64 = 3,661.08 : x
  2. Step 2: Convert to fraction form
    6,494.05/8,959.64 = 3,661.08/x
  3. Step 3: Cross multiply
    6,494.05x = 8,959.64 × 3,661.08
  4. Step 4: Simplify right side
    6,494.05x = 32,801,958.81
  5. Step 5: Solve for x
    x = 32,801,958.81/6,494.05
  6. Step 6: Final answer
    x = 5,051.08

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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.