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Finding the Fourth Proportional to 3,858, 5,787.98 and 1,122

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Solution

The fourth proportional to 3,858, 5,787.98 and 1,122 is: 1,683.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858 : 5,787.98 = 1,122 : x
  2. Step 2: Convert to fraction form
    3,858/5,787.98 = 1,122/x
  3. Step 3: Cross multiply
    3,858x = 5,787.98 × 1,122
  4. Step 4: Simplify right side
    3,858x = 6,494,113.56
  5. Step 5: Solve for x
    x = 6,494,113.56/3,858
  6. Step 6: Final answer
    x = 1,683.29

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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.