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Finding the Fourth Proportional to 3,809.37, 5,254.74 and 2,237.16

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Solution

The fourth proportional to 3,809.37, 5,254.74 and 2,237.16 is: 3,085.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.37 : 5,254.74 = 2,237.16 : x
  2. Step 2: Convert to fraction form
    3,809.37/5,254.74 = 2,237.16/x
  3. Step 3: Cross multiply
    3,809.37x = 5,254.74 × 2,237.16
  4. Step 4: Simplify right side
    3,809.37x = 11,755,694.14
  5. Step 5: Solve for x
    x = 11,755,694.14/3,809.37
  6. Step 6: Final answer
    x = 3,085.99

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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.