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Finding the Fourth Proportional to 4,919.84, 7,368.68 and 2,834.90

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Solution

The fourth proportional to 4,919.84, 7,368.68 and 2,834.90 is: 4,245.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,919.84 : 7,368.68 = 2,834.90 : x
  2. Step 2: Convert to fraction form
    4,919.84/7,368.68 = 2,834.90/x
  3. Step 3: Cross multiply
    4,919.84x = 7,368.68 × 2,834.90
  4. Step 4: Simplify right side
    4,919.84x = 20,889,470.93
  5. Step 5: Solve for x
    x = 20,889,470.93/4,919.84
  6. Step 6: Final answer
    x = 4,245.97

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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.