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Finding the Fourth Proportional to 4,238.54, 5,851.20 and 2,980.67

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Solution

The fourth proportional to 4,238.54, 5,851.20 and 2,980.67 is: 4,114.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.54 : 5,851.20 = 2,980.67 : x
  2. Step 2: Convert to fraction form
    4,238.54/5,851.20 = 2,980.67/x
  3. Step 3: Cross multiply
    4,238.54x = 5,851.20 × 2,980.67
  4. Step 4: Simplify right side
    4,238.54x = 17,440,467.05
  5. Step 5: Solve for x
    x = 17,440,467.05/4,238.54
  6. Step 6: Final answer
    x = 4,114.74

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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.