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Finding the Fourth Proportional to 3,975.48, 5,478.84 and 3,078

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Solution

The fourth proportional to 3,975.48, 5,478.84 and 3,078 is: 4,241.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.48 : 5,478.84 = 3,078 : x
  2. Step 2: Convert to fraction form
    3,975.48/5,478.84 = 3,078/x
  3. Step 3: Cross multiply
    3,975.48x = 5,478.84 × 3,078
  4. Step 4: Simplify right side
    3,975.48x = 16,863,869.52
  5. Step 5: Solve for x
    x = 16,863,869.52/3,975.48
  6. Step 6: Final answer
    x = 4,241.97

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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.