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Finding the Fourth Proportional to 3,827.88, 5,284.44 and 2,256.48

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Solution

The fourth proportional to 3,827.88, 5,284.44 and 2,256.48 is: 3,115.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.88 : 5,284.44 = 2,256.48 : x
  2. Step 2: Convert to fraction form
    3,827.88/5,284.44 = 2,256.48/x
  3. Step 3: Cross multiply
    3,827.88x = 5,284.44 × 2,256.48
  4. Step 4: Simplify right side
    3,827.88x = 11,924,233.17
  5. Step 5: Solve for x
    x = 11,924,233.17/3,827.88
  6. Step 6: Final answer
    x = 3,115.10

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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.