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Finding the Fourth Proportional to 3,820.69, 5,730.67 and 1,222.93

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Solution

The fourth proportional to 3,820.69, 5,730.67 and 1,222.93 is: 1,834.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.69 : 5,730.67 = 1,222.93 : x
  2. Step 2: Convert to fraction form
    3,820.69/5,730.67 = 1,222.93/x
  3. Step 3: Cross multiply
    3,820.69x = 5,730.67 × 1,222.93
  4. Step 4: Simplify right side
    3,820.69x = 7,008,208.26
  5. Step 5: Solve for x
    x = 7,008,208.26/3,820.69
  6. Step 6: Final answer
    x = 1,834.28

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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.