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Finding the Fourth Proportional to 3,809.94, 5,256.16 and 2,317.62

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Solution

The fourth proportional to 3,809.94, 5,256.16 and 2,317.62 is: 3,197.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.94 : 5,256.16 = 2,317.62 : x
  2. Step 2: Convert to fraction form
    3,809.94/5,256.16 = 2,317.62/x
  3. Step 3: Cross multiply
    3,809.94x = 5,256.16 × 2,317.62
  4. Step 4: Simplify right side
    3,809.94x = 12,181,781.54
  5. Step 5: Solve for x
    x = 12,181,781.54/3,809.94
  6. Step 6: Final answer
    x = 3,197.37

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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.