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Finding the Fourth Proportional to 4,809.94, 7,214.74 and 1,847.62

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Solution

The fourth proportional to 4,809.94, 7,214.74 and 1,847.62 is: 2,771.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.94 : 7,214.74 = 1,847.62 : x
  2. Step 2: Convert to fraction form
    4,809.94/7,214.74 = 1,847.62/x
  3. Step 3: Cross multiply
    4,809.94x = 7,214.74 × 1,847.62
  4. Step 4: Simplify right side
    4,809.94x = 13,330,097.92
  5. Step 5: Solve for x
    x = 13,330,097.92/4,809.94
  6. Step 6: Final answer
    x = 2,771.36

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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.