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Finding the Fourth Proportional to 4,813.19, 7,198.93 and 2,834.11

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Solution

The fourth proportional to 4,813.19, 7,198.93 and 2,834.11 is: 4,238.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813.19 : 7,198.93 = 2,834.11 : x
  2. Step 2: Convert to fraction form
    4,813.19/7,198.93 = 2,834.11/x
  3. Step 3: Cross multiply
    4,813.19x = 7,198.93 × 2,834.11
  4. Step 4: Simplify right side
    4,813.19x = 20,402,559.50
  5. Step 5: Solve for x
    x = 20,402,559.50/4,813.19
  6. Step 6: Final answer
    x = 4,238.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.