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Finding the Fourth Proportional to 3,820.51, 5,731.61 and 1,223.44

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Solution

The fourth proportional to 3,820.51, 5,731.61 and 1,223.44 is: 1,835.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.51 : 5,731.61 = 1,223.44 : x
  2. Step 2: Convert to fraction form
    3,820.51/5,731.61 = 1,223.44/x
  3. Step 3: Cross multiply
    3,820.51x = 5,731.61 × 1,223.44
  4. Step 4: Simplify right side
    3,820.51x = 7,012,280.94
  5. Step 5: Solve for x
    x = 7,012,280.94/3,820.51
  6. Step 6: Final answer
    x = 1,835.43

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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.