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Finding the Fourth Proportional to 4,849.68, 7,283.43 and 3,004.50

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Solution

The fourth proportional to 4,849.68, 7,283.43 and 3,004.50 is: 4,512.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,849.68 : 7,283.43 = 3,004.50 : x
  2. Step 2: Convert to fraction form
    4,849.68/7,283.43 = 3,004.50/x
  3. Step 3: Cross multiply
    4,849.68x = 7,283.43 × 3,004.50
  4. Step 4: Simplify right side
    4,849.68x = 21,883,065.44
  5. Step 5: Solve for x
    x = 21,883,065.44/4,849.68
  6. Step 6: Final answer
    x = 4,512.27

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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.