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Finding the Fourth Proportional to 4,809.89, 7,216.04 and 1,478.04

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Solution

The fourth proportional to 4,809.89, 7,216.04 and 1,478.04 is: 2,217.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.89 : 7,216.04 = 1,478.04 : x
  2. Step 2: Convert to fraction form
    4,809.89/7,216.04 = 1,478.04/x
  3. Step 3: Cross multiply
    4,809.89x = 7,216.04 × 1,478.04
  4. Step 4: Simplify right side
    4,809.89x = 10,665,599.46
  5. Step 5: Solve for x
    x = 10,665,599.46/4,809.89
  6. Step 6: Final answer
    x = 2,217.43

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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.