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Finding the Fourth Proportional to 4,281.40, 5,906.10 and 3,100.42

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Solution

The fourth proportional to 4,281.40, 5,906.10 and 3,100.42 is: 4,276.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,281.40 : 5,906.10 = 3,100.42 : x
  2. Step 2: Convert to fraction form
    4,281.40/5,906.10 = 3,100.42/x
  3. Step 3: Cross multiply
    4,281.40x = 5,906.10 × 3,100.42
  4. Step 4: Simplify right side
    4,281.40x = 18,311,390.56
  5. Step 5: Solve for x
    x = 18,311,390.56/4,281.40
  6. Step 6: Final answer
    x = 4,276.96

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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.