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Finding the Fourth Proportional to 3,106.78, 4,281.90 and 2,763.25

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Solution

The fourth proportional to 3,106.78, 4,281.90 and 2,763.25 is: 3,808.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.78 : 4,281.90 = 2,763.25 : x
  2. Step 2: Convert to fraction form
    3,106.78/4,281.90 = 2,763.25/x
  3. Step 3: Cross multiply
    3,106.78x = 4,281.90 × 2,763.25
  4. Step 4: Simplify right side
    3,106.78x = 11,831,960.18
  5. Step 5: Solve for x
    x = 11,831,960.18/3,106.78
  6. Step 6: Final answer
    x = 3,808.43

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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.