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Finding the Fourth Proportional to 3,466.84, 5,201.70 and 2,083

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Solution

The fourth proportional to 3,466.84, 5,201.70 and 2,083 is: 3,125.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.84 : 5,201.70 = 2,083 : x
  2. Step 2: Convert to fraction form
    3,466.84/5,201.70 = 2,083/x
  3. Step 3: Cross multiply
    3,466.84x = 5,201.70 × 2,083
  4. Step 4: Simplify right side
    3,466.84x = 10,835,141.10
  5. Step 5: Solve for x
    x = 10,835,141.10/3,466.84
  6. Step 6: Final answer
    x = 3,125.37

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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.