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Finding the Fourth Proportional to 4,842.42, 7,266.70 and 2,069.12

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Solution

The fourth proportional to 4,842.42, 7,266.70 and 2,069.12 is: 3,104.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.42 : 7,266.70 = 2,069.12 : x
  2. Step 2: Convert to fraction form
    4,842.42/7,266.70 = 2,069.12/x
  3. Step 3: Cross multiply
    4,842.42x = 7,266.70 × 2,069.12
  4. Step 4: Simplify right side
    4,842.42x = 15,035,643.14
  5. Step 5: Solve for x
    x = 15,035,643.14/4,842.42
  6. Step 6: Final answer
    x = 3,104.99

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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.