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Finding the Fourth Proportional to 5,696.28, 8,542.74 and 2,409.30

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Solution

The fourth proportional to 5,696.28, 8,542.74 and 2,409.30 is: 3,613.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.28 : 8,542.74 = 2,409.30 : x
  2. Step 2: Convert to fraction form
    5,696.28/8,542.74 = 2,409.30/x
  3. Step 3: Cross multiply
    5,696.28x = 8,542.74 × 2,409.30
  4. Step 4: Simplify right side
    5,696.28x = 20,582,023.48
  5. Step 5: Solve for x
    x = 20,582,023.48/5,696.28
  6. Step 6: Final answer
    x = 3,613.24

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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.