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Finding the Fourth Proportional to 4,119.44, 5,684.84 and 2,256.44

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Solution

The fourth proportional to 4,119.44, 5,684.84 and 2,256.44 is: 3,113.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,119.44 : 5,684.84 = 2,256.44 : x
  2. Step 2: Convert to fraction form
    4,119.44/5,684.84 = 2,256.44/x
  3. Step 3: Cross multiply
    4,119.44x = 5,684.84 × 2,256.44
  4. Step 4: Simplify right side
    4,119.44x = 12,827,500.37
  5. Step 5: Solve for x
    x = 12,827,500.37/4,119.44
  6. Step 6: Final answer
    x = 3,113.89

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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.