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Finding the Fourth Proportional to 4,196.51, 6,294.93 and 1,076.62

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Solution

The fourth proportional to 4,196.51, 6,294.93 and 1,076.62 is: 1,614.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.51 : 6,294.93 = 1,076.62 : x
  2. Step 2: Convert to fraction form
    4,196.51/6,294.93 = 1,076.62/x
  3. Step 3: Cross multiply
    4,196.51x = 6,294.93 × 1,076.62
  4. Step 4: Simplify right side
    4,196.51x = 6,777,247.54
  5. Step 5: Solve for x
    x = 6,777,247.54/4,196.51
  6. Step 6: Final answer
    x = 1,614.97

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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.