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Finding the Fourth Proportional to 3,886.68, 5,364.31 and 2,293.23

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Solution

The fourth proportional to 3,886.68, 5,364.31 and 2,293.23 is: 3,165.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.68 : 5,364.31 = 2,293.23 : x
  2. Step 2: Convert to fraction form
    3,886.68/5,364.31 = 2,293.23/x
  3. Step 3: Cross multiply
    3,886.68x = 5,364.31 × 2,293.23
  4. Step 4: Simplify right side
    3,886.68x = 12,301,596.62
  5. Step 5: Solve for x
    x = 12,301,596.62/3,886.68
  6. Step 6: Final answer
    x = 3,165.07

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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.