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Finding the Fourth Proportional to 5,065.89, 7,599.64 and 2,144.22

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Solution

The fourth proportional to 5,065.89, 7,599.64 and 2,144.22 is: 3,216.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065.89 : 7,599.64 = 2,144.22 : x
  2. Step 2: Convert to fraction form
    5,065.89/7,599.64 = 2,144.22/x
  3. Step 3: Cross multiply
    5,065.89x = 7,599.64 × 2,144.22
  4. Step 4: Simplify right side
    5,065.89x = 16,295,300.08
  5. Step 5: Solve for x
    x = 16,295,300.08/5,065.89
  6. Step 6: Final answer
    x = 3,216.67

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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.