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Finding the Fourth Proportional to 3,887.65, 5,364.69 and 2,294.21

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Solution

The fourth proportional to 3,887.65, 5,364.69 and 2,294.21 is: 3,165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.65 : 5,364.69 = 2,294.21 : x
  2. Step 2: Convert to fraction form
    3,887.65/5,364.69 = 2,294.21/x
  3. Step 3: Cross multiply
    3,887.65x = 5,364.69 × 2,294.21
  4. Step 4: Simplify right side
    3,887.65x = 12,307,725.44
  5. Step 5: Solve for x
    x = 12,307,725.44/3,887.65
  6. Step 6: Final answer
    x = 3,165.85

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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.