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Finding the Fourth Proportional to 3,047.02, 4,570.49 and 738.54

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Solution

The fourth proportional to 3,047.02, 4,570.49 and 738.54 is: 1,107.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.02 : 4,570.49 = 738.54 : x
  2. Step 2: Convert to fraction form
    3,047.02/4,570.49 = 738.54/x
  3. Step 3: Cross multiply
    3,047.02x = 4,570.49 × 738.54
  4. Step 4: Simplify right side
    3,047.02x = 3,375,489.68
  5. Step 5: Solve for x
    x = 3,375,489.68/3,047.02
  6. Step 6: Final answer
    x = 1,107.80

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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.