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Finding the Fourth Proportional to 4,763.74, 7,133.19 and 3,834.22

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Solution

The fourth proportional to 4,763.74, 7,133.19 and 3,834.22 is: 5,741.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.74 : 7,133.19 = 3,834.22 : x
  2. Step 2: Convert to fraction form
    4,763.74/7,133.19 = 3,834.22/x
  3. Step 3: Cross multiply
    4,763.74x = 7,133.19 × 3,834.22
  4. Step 4: Simplify right side
    4,763.74x = 27,350,219.76
  5. Step 5: Solve for x
    x = 27,350,219.76/4,763.74
  6. Step 6: Final answer
    x = 5,741.33

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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.