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Finding the Fourth Proportional to 4,157.56, 5,737.50 and 2,294.44

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Solution

The fourth proportional to 4,157.56, 5,737.50 and 2,294.44 is: 3,166.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.56 : 5,737.50 = 2,294.44 : x
  2. Step 2: Convert to fraction form
    4,157.56/5,737.50 = 2,294.44/x
  3. Step 3: Cross multiply
    4,157.56x = 5,737.50 × 2,294.44
  4. Step 4: Simplify right side
    4,157.56x = 13,164,349.50
  5. Step 5: Solve for x
    x = 13,164,349.50/4,157.56
  6. Step 6: Final answer
    x = 3,166.36

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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.