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Finding the Fourth Proportional to 4,808.14, 7,211.49 and 1,520.81

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Solution

The fourth proportional to 4,808.14, 7,211.49 and 1,520.81 is: 2,280.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,808.14 : 7,211.49 = 1,520.81 : x
  2. Step 2: Convert to fraction form
    4,808.14/7,211.49 = 1,520.81/x
  3. Step 3: Cross multiply
    4,808.14x = 7,211.49 × 1,520.81
  4. Step 4: Simplify right side
    4,808.14x = 10,967,282.06
  5. Step 5: Solve for x
    x = 10,967,282.06/4,808.14
  6. Step 6: Final answer
    x = 2,280.98

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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.