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Finding the Fourth Proportional to 4,806.09, 7,209.77 and 1,846.35

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Solution

The fourth proportional to 4,806.09, 7,209.77 and 1,846.35 is: 2,769.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.09 : 7,209.77 = 1,846.35 : x
  2. Step 2: Convert to fraction form
    4,806.09/7,209.77 = 1,846.35/x
  3. Step 3: Cross multiply
    4,806.09x = 7,209.77 × 1,846.35
  4. Step 4: Simplify right side
    4,806.09x = 13,311,749.61
  5. Step 5: Solve for x
    x = 13,311,749.61/4,806.09
  6. Step 6: Final answer
    x = 2,769.77

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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.