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Finding the Fourth Proportional to 4,792.89, 7,189.37 and 1,672.88

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Solution

The fourth proportional to 4,792.89, 7,189.37 and 1,672.88 is: 2,509.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792.89 : 7,189.37 = 1,672.88 : x
  2. Step 2: Convert to fraction form
    4,792.89/7,189.37 = 1,672.88/x
  3. Step 3: Cross multiply
    4,792.89x = 7,189.37 × 1,672.88
  4. Step 4: Simplify right side
    4,792.89x = 12,026,975.44
  5. Step 5: Solve for x
    x = 12,026,975.44/4,792.89
  6. Step 6: Final answer
    x = 2,509.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.