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Finding the Fourth Proportional to 4,247.99, 5,865.26 and 3,409.49

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Solution

The fourth proportional to 4,247.99, 5,865.26 and 3,409.49 is: 4,707.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,247.99 : 5,865.26 = 3,409.49 : x
  2. Step 2: Convert to fraction form
    4,247.99/5,865.26 = 3,409.49/x
  3. Step 3: Cross multiply
    4,247.99x = 5,865.26 × 3,409.49
  4. Step 4: Simplify right side
    4,247.99x = 19,997,562.11
  5. Step 5: Solve for x
    x = 19,997,562.11/4,247.99
  6. Step 6: Final answer
    x = 4,707.53

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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.