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Finding the Fourth Proportional to 5,733.86, 7,912.58 and 3,215.76

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Solution

The fourth proportional to 5,733.86, 7,912.58 and 3,215.76 is: 4,437.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.86 : 7,912.58 = 3,215.76 : x
  2. Step 2: Convert to fraction form
    5,733.86/7,912.58 = 3,215.76/x
  3. Step 3: Cross multiply
    5,733.86x = 7,912.58 × 3,215.76
  4. Step 4: Simplify right side
    5,733.86x = 25,444,942.18
  5. Step 5: Solve for x
    x = 25,444,942.18/5,733.86
  6. Step 6: Final answer
    x = 4,437.67

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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.