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Finding the Fourth Proportional to 3,886.42, 5,362.86 and 2,314.21

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Solution

The fourth proportional to 3,886.42, 5,362.86 and 2,314.21 is: 3,193.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.42 : 5,362.86 = 2,314.21 : x
  2. Step 2: Convert to fraction form
    3,886.42/5,362.86 = 2,314.21/x
  3. Step 3: Cross multiply
    3,886.42x = 5,362.86 × 2,314.21
  4. Step 4: Simplify right side
    3,886.42x = 12,410,784.24
  5. Step 5: Solve for x
    x = 12,410,784.24/3,886.42
  6. Step 6: Final answer
    x = 3,193.37

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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.