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Finding the Fourth Proportional to 3,820.83, 5,731.43 and 1,223.79

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Solution

The fourth proportional to 3,820.83, 5,731.43 and 1,223.79 is: 1,835.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.83 : 5,731.43 = 1,223.79 : x
  2. Step 2: Convert to fraction form
    3,820.83/5,731.43 = 1,223.79/x
  3. Step 3: Cross multiply
    3,820.83x = 5,731.43 × 1,223.79
  4. Step 4: Simplify right side
    3,820.83x = 7,014,060.60
  5. Step 5: Solve for x
    x = 7,014,060.60/3,820.83
  6. Step 6: Final answer
    x = 1,835.74

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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.