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Finding the Fourth Proportional to 4,246.74, 5,857.38 and 2,478.24

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Solution

The fourth proportional to 4,246.74, 5,857.38 and 2,478.24 is: 3,418.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,246.74 : 5,857.38 = 2,478.24 : x
  2. Step 2: Convert to fraction form
    4,246.74/5,857.38 = 2,478.24/x
  3. Step 3: Cross multiply
    4,246.74x = 5,857.38 × 2,478.24
  4. Step 4: Simplify right side
    4,246.74x = 14,515,993.41
  5. Step 5: Solve for x
    x = 14,515,993.41/4,246.74
  6. Step 6: Final answer
    x = 3,418.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.