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Finding the Fourth Proportional to 4,806.02, 7,212.07 and 1,884.25

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Solution

The fourth proportional to 4,806.02, 7,212.07 and 1,884.25 is: 2,827.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.02 : 7,212.07 = 1,884.25 : x
  2. Step 2: Convert to fraction form
    4,806.02/7,212.07 = 1,884.25/x
  3. Step 3: Cross multiply
    4,806.02x = 7,212.07 × 1,884.25
  4. Step 4: Simplify right side
    4,806.02x = 13,589,342.90
  5. Step 5: Solve for x
    x = 13,589,342.90/4,806.02
  6. Step 6: Final answer
    x = 2,827.57

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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.