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Finding the Fourth Proportional to 4,800.42, 7,204.23 and 2,205.18

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Solution

The fourth proportional to 4,800.42, 7,204.23 and 2,205.18 is: 3,309.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,800.42 : 7,204.23 = 2,205.18 : x
  2. Step 2: Convert to fraction form
    4,800.42/7,204.23 = 2,205.18/x
  3. Step 3: Cross multiply
    4,800.42x = 7,204.23 × 2,205.18
  4. Step 4: Simplify right side
    4,800.42x = 15,886,623.91
  5. Step 5: Solve for x
    x = 15,886,623.91/4,800.42
  6. Step 6: Final answer
    x = 3,309.42

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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.