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Finding the Fourth Proportional to 4,902.33, 7,355.94 and 3,052.98

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Solution

The fourth proportional to 4,902.33, 7,355.94 and 3,052.98 is: 4,580.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.33 : 7,355.94 = 3,052.98 : x
  2. Step 2: Convert to fraction form
    4,902.33/7,355.94 = 3,052.98/x
  3. Step 3: Cross multiply
    4,902.33x = 7,355.94 × 3,052.98
  4. Step 4: Simplify right side
    4,902.33x = 22,457,537.70
  5. Step 5: Solve for x
    x = 22,457,537.70/4,902.33
  6. Step 6: Final answer
    x = 4,580.99

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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.