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Finding the Fourth Proportional to 4,239.45, 5,847.51 and 2,983.14

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Solution

The fourth proportional to 4,239.45, 5,847.51 and 2,983.14 is: 4,114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,239.45 : 5,847.51 = 2,983.14 : x
  2. Step 2: Convert to fraction form
    4,239.45/5,847.51 = 2,983.14/x
  3. Step 3: Cross multiply
    4,239.45x = 5,847.51 × 2,983.14
  4. Step 4: Simplify right side
    4,239.45x = 17,443,940.98
  5. Step 5: Solve for x
    x = 17,443,940.98/4,239.45
  6. Step 6: Final answer
    x = 4,114.67

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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.