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Finding the Fourth Proportional to 5,825.59, 8,771.22 and 5,136.68

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Solution

The fourth proportional to 5,825.59, 8,771.22 and 5,136.68 is: 7,733.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.59 : 8,771.22 = 5,136.68 : x
  2. Step 2: Convert to fraction form
    5,825.59/8,771.22 = 5,136.68/x
  3. Step 3: Cross multiply
    5,825.59x = 8,771.22 × 5,136.68
  4. Step 4: Simplify right side
    5,825.59x = 45,054,950.35
  5. Step 5: Solve for x
    x = 45,054,950.35/5,825.59
  6. Step 6: Final answer
    x = 7,733.97

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.