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Finding the Fourth Proportional to 3,820.65, 5,731.11 and 1,223.25

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Solution

The fourth proportional to 3,820.65, 5,731.11 and 1,223.25 is: 1,834.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.65 : 5,731.11 = 1,223.25 : x
  2. Step 2: Convert to fraction form
    3,820.65/5,731.11 = 1,223.25/x
  3. Step 3: Cross multiply
    3,820.65x = 5,731.11 × 1,223.25
  4. Step 4: Simplify right side
    3,820.65x = 7,010,580.31
  5. Step 5: Solve for x
    x = 7,010,580.31/3,820.65
  6. Step 6: Final answer
    x = 1,834.92

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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.