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Finding the Fourth Proportional to 5,313.08, 7,969.42 and 3,004.60

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Solution

The fourth proportional to 5,313.08, 7,969.42 and 3,004.60 is: 4,506.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.08 : 7,969.42 = 3,004.60 : x
  2. Step 2: Convert to fraction form
    5,313.08/7,969.42 = 3,004.60/x
  3. Step 3: Cross multiply
    5,313.08x = 7,969.42 × 3,004.60
  4. Step 4: Simplify right side
    5,313.08x = 23,944,919.33
  5. Step 5: Solve for x
    x = 23,944,919.33/5,313.08
  6. Step 6: Final answer
    x = 4,506.79

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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.