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Finding the Fourth Proportional to 3,847.36, 5,310.42 and 2,275.96

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Solution

The fourth proportional to 3,847.36, 5,310.42 and 2,275.96 is: 3,141.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.36 : 5,310.42 = 2,275.96 : x
  2. Step 2: Convert to fraction form
    3,847.36/5,310.42 = 2,275.96/x
  3. Step 3: Cross multiply
    3,847.36x = 5,310.42 × 2,275.96
  4. Step 4: Simplify right side
    3,847.36x = 12,086,303.50
  5. Step 5: Solve for x
    x = 12,086,303.50/3,847.36
  6. Step 6: Final answer
    x = 3,141.45

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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.