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Finding the Fourth Proportional to 3,467.86, 4,782.94 and 3,069.96

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Solution

The fourth proportional to 3,467.86, 4,782.94 and 3,069.96 is: 4,234.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.86 : 4,782.94 = 3,069.96 : x
  2. Step 2: Convert to fraction form
    3,467.86/4,782.94 = 3,069.96/x
  3. Step 3: Cross multiply
    3,467.86x = 4,782.94 × 3,069.96
  4. Step 4: Simplify right side
    3,467.86x = 14,683,434.48
  5. Step 5: Solve for x
    x = 14,683,434.48/3,467.86
  6. Step 6: Final answer
    x = 4,234.15

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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.