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Finding the Fourth Proportional to 4,310.44, 5,939.64 and 4,078

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Solution

The fourth proportional to 4,310.44, 5,939.64 and 4,078 is: 5,619.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,310.44 : 5,939.64 = 4,078 : x
  2. Step 2: Convert to fraction form
    4,310.44/5,939.64 = 4,078/x
  3. Step 3: Cross multiply
    4,310.44x = 5,939.64 × 4,078
  4. Step 4: Simplify right side
    4,310.44x = 24,221,851.92
  5. Step 5: Solve for x
    x = 24,221,851.92/4,310.44
  6. Step 6: Final answer
    x = 5,619.35

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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.