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Finding the Fourth Proportional to 4,157.82, 5,737.71 and 2,269.41

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Solution

The fourth proportional to 4,157.82, 5,737.71 and 2,269.41 is: 3,131.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.82 : 5,737.71 = 2,269.41 : x
  2. Step 2: Convert to fraction form
    4,157.82/5,737.71 = 2,269.41/x
  3. Step 3: Cross multiply
    4,157.82x = 5,737.71 × 2,269.41
  4. Step 4: Simplify right side
    4,157.82x = 13,021,216.45
  5. Step 5: Solve for x
    x = 13,021,216.45/4,157.82
  6. Step 6: Final answer
    x = 3,131.74

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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.