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Finding the Fourth Proportional to 4,157.40, 5,737.20 and 2,294.40

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Solution

The fourth proportional to 4,157.40, 5,737.20 and 2,294.40 is: 3,166.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.40 : 5,737.20 = 2,294.40 : x
  2. Step 2: Convert to fraction form
    4,157.40/5,737.20 = 2,294.40/x
  3. Step 3: Cross multiply
    4,157.40x = 5,737.20 × 2,294.40
  4. Step 4: Simplify right side
    4,157.40x = 13,163,431.68
  5. Step 5: Solve for x
    x = 13,163,431.68/4,157.40
  6. Step 6: Final answer
    x = 3,166.27

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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.