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Finding the Fourth Proportional to 4,076.39, 5,622 and 3,014.48

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Solution

The fourth proportional to 4,076.39, 5,622 and 3,014.48 is: 4,157.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,076.39 : 5,622 = 3,014.48 : x
  2. Step 2: Convert to fraction form
    4,076.39/5,622 = 3,014.48/x
  3. Step 3: Cross multiply
    4,076.39x = 5,622 × 3,014.48
  4. Step 4: Simplify right side
    4,076.39x = 16,947,406.56
  5. Step 5: Solve for x
    x = 16,947,406.56/4,076.39
  6. Step 6: Final answer
    x = 4,157.45

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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.