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Finding the Fourth Proportional to 4,808.80, 7,212.14 and 1,522.12

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Solution

The fourth proportional to 4,808.80, 7,212.14 and 1,522.12 is: 2,282.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,808.80 : 7,212.14 = 1,522.12 : x
  2. Step 2: Convert to fraction form
    4,808.80/7,212.14 = 1,522.12/x
  3. Step 3: Cross multiply
    4,808.80x = 7,212.14 × 1,522.12
  4. Step 4: Simplify right side
    4,808.80x = 10,977,742.54
  5. Step 5: Solve for x
    x = 10,977,742.54/4,808.80
  6. Step 6: Final answer
    x = 2,282.84

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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.