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Finding the Fourth Proportional to 5,971.22, 8,950.39 and 3,780.58

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Solution

The fourth proportional to 5,971.22, 8,950.39 and 3,780.58 is: 5,666.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.22 : 8,950.39 = 3,780.58 : x
  2. Step 2: Convert to fraction form
    5,971.22/8,950.39 = 3,780.58/x
  3. Step 3: Cross multiply
    5,971.22x = 8,950.39 × 3,780.58
  4. Step 4: Simplify right side
    5,971.22x = 33,837,665.43
  5. Step 5: Solve for x
    x = 33,837,665.43/5,971.22
  6. Step 6: Final answer
    x = 5,666.79

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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.