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Finding the Fourth Proportional to 3,201.68, 4,806.48 and 3,053.92

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Solution

The fourth proportional to 3,201.68, 4,806.48 and 3,053.92 is: 4,584.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.68 : 4,806.48 = 3,053.92 : x
  2. Step 2: Convert to fraction form
    3,201.68/4,806.48 = 3,053.92/x
  3. Step 3: Cross multiply
    3,201.68x = 4,806.48 × 3,053.92
  4. Step 4: Simplify right side
    3,201.68x = 14,678,605.40
  5. Step 5: Solve for x
    x = 14,678,605.40/3,201.68
  6. Step 6: Final answer
    x = 4,584.66

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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.