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Finding the Fourth Proportional to 4,157.31, 5,737.22 and 2,269.02

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Solution

The fourth proportional to 4,157.31, 5,737.22 and 2,269.02 is: 3,131.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.31 : 5,737.22 = 2,269.02 : x
  2. Step 2: Convert to fraction form
    4,157.31/5,737.22 = 2,269.02/x
  3. Step 3: Cross multiply
    4,157.31x = 5,737.22 × 2,269.02
  4. Step 4: Simplify right side
    4,157.31x = 13,017,845.35
  5. Step 5: Solve for x
    x = 13,017,845.35/4,157.31
  6. Step 6: Final answer
    x = 3,131.31

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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.