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Finding the Fourth Proportional to 4,094.97, 5,650.89 and 2,416.44

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Solution

The fourth proportional to 4,094.97, 5,650.89 and 2,416.44 is: 3,334.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094.97 : 5,650.89 = 2,416.44 : x
  2. Step 2: Convert to fraction form
    4,094.97/5,650.89 = 2,416.44/x
  3. Step 3: Cross multiply
    4,094.97x = 5,650.89 × 2,416.44
  4. Step 4: Simplify right side
    4,094.97x = 13,655,036.63
  5. Step 5: Solve for x
    x = 13,655,036.63/4,094.97
  6. Step 6: Final answer
    x = 3,334.59

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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.