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Finding the Fourth Proportional to 5,729.72, 8,590.26 and 3,876.20

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Solution

The fourth proportional to 5,729.72, 8,590.26 and 3,876.20 is: 5,811.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.72 : 8,590.26 = 3,876.20 : x
  2. Step 2: Convert to fraction form
    5,729.72/8,590.26 = 3,876.20/x
  3. Step 3: Cross multiply
    5,729.72x = 8,590.26 × 3,876.20
  4. Step 4: Simplify right side
    5,729.72x = 33,297,565.81
  5. Step 5: Solve for x
    x = 33,297,565.81/5,729.72
  6. Step 6: Final answer
    x = 5,811.38

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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.