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Finding the Fourth Proportional to 3,886.57, 5,364.09 and 2,293.25

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Solution

The fourth proportional to 3,886.57, 5,364.09 and 2,293.25 is: 3,165.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.57 : 5,364.09 = 2,293.25 : x
  2. Step 2: Convert to fraction form
    3,886.57/5,364.09 = 2,293.25/x
  3. Step 3: Cross multiply
    3,886.57x = 5,364.09 × 2,293.25
  4. Step 4: Simplify right side
    3,886.57x = 12,301,199.39
  5. Step 5: Solve for x
    x = 12,301,199.39/3,886.57
  6. Step 6: Final answer
    x = 3,165.05

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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.