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Finding the Fourth Proportional to 5,809.89, 8,016.60 and 3,419.67

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Solution

The fourth proportional to 5,809.89, 8,016.60 and 3,419.67 is: 4,718.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.89 : 8,016.60 = 3,419.67 : x
  2. Step 2: Convert to fraction form
    5,809.89/8,016.60 = 3,419.67/x
  3. Step 3: Cross multiply
    5,809.89x = 8,016.60 × 3,419.67
  4. Step 4: Simplify right side
    5,809.89x = 27,414,126.52
  5. Step 5: Solve for x
    x = 27,414,126.52/5,809.89
  6. Step 6: Final answer
    x = 4,718.53

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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.