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Finding the Fourth Proportional to 4,806.66, 7,204.20 and 3,141.57

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Solution

The fourth proportional to 4,806.66, 7,204.20 and 3,141.57 is: 4,708.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.66 : 7,204.20 = 3,141.57 : x
  2. Step 2: Convert to fraction form
    4,806.66/7,204.20 = 3,141.57/x
  3. Step 3: Cross multiply
    4,806.66x = 7,204.20 × 3,141.57
  4. Step 4: Simplify right side
    4,806.66x = 22,632,498.59
  5. Step 5: Solve for x
    x = 22,632,498.59/4,806.66
  6. Step 6: Final answer
    x = 4,708.57

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