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Finding the Fourth Proportional to 4,357.86, 6,012.78 and 2,469.48

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Solution

The fourth proportional to 4,357.86, 6,012.78 and 2,469.48 is: 3,407.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357.86 : 6,012.78 = 2,469.48 : x
  2. Step 2: Convert to fraction form
    4,357.86/6,012.78 = 2,469.48/x
  3. Step 3: Cross multiply
    4,357.86x = 6,012.78 × 2,469.48
  4. Step 4: Simplify right side
    4,357.86x = 14,848,439.95
  5. Step 5: Solve for x
    x = 14,848,439.95/4,357.86
  6. Step 6: Final answer
    x = 3,407.28

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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.