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Finding the Fourth Proportional to 3,164.09, 4,747.85 and 1,316.48

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Solution

The fourth proportional to 3,164.09, 4,747.85 and 1,316.48 is: 1,975.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.09 : 4,747.85 = 1,316.48 : x
  2. Step 2: Convert to fraction form
    3,164.09/4,747.85 = 1,316.48/x
  3. Step 3: Cross multiply
    3,164.09x = 4,747.85 × 1,316.48
  4. Step 4: Simplify right side
    3,164.09x = 6,250,464.73
  5. Step 5: Solve for x
    x = 6,250,464.73/3,164.09
  6. Step 6: Final answer
    x = 1,975.44

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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.