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Finding the Fourth Proportional to 4,842.12, 7,263.74 and 2,069.11

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Solution

The fourth proportional to 4,842.12, 7,263.74 and 2,069.11 is: 3,103.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.12 : 7,263.74 = 2,069.11 : x
  2. Step 2: Convert to fraction form
    4,842.12/7,263.74 = 2,069.11/x
  3. Step 3: Cross multiply
    4,842.12x = 7,263.74 × 2,069.11
  4. Step 4: Simplify right side
    4,842.12x = 15,029,477.07
  5. Step 5: Solve for x
    x = 15,029,477.07/4,842.12
  6. Step 6: Final answer
    x = 3,103.90

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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.