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Finding the Fourth Proportional to 4,196.43, 6,294.53 and 1,076.37

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Solution

The fourth proportional to 4,196.43, 6,294.53 and 1,076.37 is: 1,614.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.43 : 6,294.53 = 1,076.37 : x
  2. Step 2: Convert to fraction form
    4,196.43/6,294.53 = 1,076.37/x
  3. Step 3: Cross multiply
    4,196.43x = 6,294.53 × 1,076.37
  4. Step 4: Simplify right side
    4,196.43x = 6,775,237.87
  5. Step 5: Solve for x
    x = 6,775,237.87/4,196.43
  6. Step 6: Final answer
    x = 1,614.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.