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Finding the Fourth Proportional to 4,806.60, 7,212.60 and 2,032.80

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Solution

The fourth proportional to 4,806.60, 7,212.60 and 2,032.80 is: 3,050.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.60 : 7,212.60 = 2,032.80 : x
  2. Step 2: Convert to fraction form
    4,806.60/7,212.60 = 2,032.80/x
  3. Step 3: Cross multiply
    4,806.60x = 7,212.60 × 2,032.80
  4. Step 4: Simplify right side
    4,806.60x = 14,661,773.28
  5. Step 5: Solve for x
    x = 14,661,773.28/4,806.60
  6. Step 6: Final answer
    x = 3,050.34

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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.