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Finding the Fourth Proportional to 3,911.71, 5,396.35 and 2,254.75

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Solution

The fourth proportional to 3,911.71, 5,396.35 and 2,254.75 is: 3,110.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.71 : 5,396.35 = 2,254.75 : x
  2. Step 2: Convert to fraction form
    3,911.71/5,396.35 = 2,254.75/x
  3. Step 3: Cross multiply
    3,911.71x = 5,396.35 × 2,254.75
  4. Step 4: Simplify right side
    3,911.71x = 12,167,420.16
  5. Step 5: Solve for x
    x = 12,167,420.16/3,911.71
  6. Step 6: Final answer
    x = 3,110.51

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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.