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Finding the Fourth Proportional to 5,969.57, 8,959.23 and 2,509.25

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Solution

The fourth proportional to 5,969.57, 8,959.23 and 2,509.25 is: 3,765.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.57 : 8,959.23 = 2,509.25 : x
  2. Step 2: Convert to fraction form
    5,969.57/8,959.23 = 2,509.25/x
  3. Step 3: Cross multiply
    5,969.57x = 8,959.23 × 2,509.25
  4. Step 4: Simplify right side
    5,969.57x = 22,480,903.08
  5. Step 5: Solve for x
    x = 22,480,903.08/5,969.57
  6. Step 6: Final answer
    x = 3,765.92

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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.