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Finding the Fourth Proportional to 4,157.89, 6,229.53 and 3,705.91

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Solution

The fourth proportional to 4,157.89, 6,229.53 and 3,705.91 is: 5,552.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.89 : 6,229.53 = 3,705.91 : x
  2. Step 2: Convert to fraction form
    4,157.89/6,229.53 = 3,705.91/x
  3. Step 3: Cross multiply
    4,157.89x = 6,229.53 × 3,705.91
  4. Step 4: Simplify right side
    4,157.89x = 23,086,077.52
  5. Step 5: Solve for x
    x = 23,086,077.52/4,157.89
  6. Step 6: Final answer
    x = 5,552.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.