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Finding the Fourth Proportional to 4,806.96, 7,203.13 and 3,568.57

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Solution

The fourth proportional to 4,806.96, 7,203.13 and 3,568.57 is: 5,347.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.96 : 7,203.13 = 3,568.57 : x
  2. Step 2: Convert to fraction form
    4,806.96/7,203.13 = 3,568.57/x
  3. Step 3: Cross multiply
    4,806.96x = 7,203.13 × 3,568.57
  4. Step 4: Simplify right side
    4,806.96x = 25,704,873.62
  5. Step 5: Solve for x
    x = 25,704,873.62/4,806.96
  6. Step 6: Final answer
    x = 5,347.43

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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.