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Finding the Fourth Proportional to 4,806.87, 7,201.80 and 2,204.34

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Solution

The fourth proportional to 4,806.87, 7,201.80 and 2,204.34 is: 3,302.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.87 : 7,201.80 = 2,204.34 : x
  2. Step 2: Convert to fraction form
    4,806.87/7,201.80 = 2,204.34/x
  3. Step 3: Cross multiply
    4,806.87x = 7,201.80 × 2,204.34
  4. Step 4: Simplify right side
    4,806.87x = 15,875,215.81
  5. Step 5: Solve for x
    x = 15,875,215.81/4,806.87
  6. Step 6: Final answer
    x = 3,302.61

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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.