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Finding the Fourth Proportional to 3,093.33, 4,638.97 and 902.14

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Solution

The fourth proportional to 3,093.33, 4,638.97 and 902.14 is: 1,352.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.33 : 4,638.97 = 902.14 : x
  2. Step 2: Convert to fraction form
    3,093.33/4,638.97 = 902.14/x
  3. Step 3: Cross multiply
    3,093.33x = 4,638.97 × 902.14
  4. Step 4: Simplify right side
    3,093.33x = 4,185,000.40
  5. Step 5: Solve for x
    x = 4,185,000.40/3,093.33
  6. Step 6: Final answer
    x = 1,352.91

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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.