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Finding the Fourth Proportional to 4,738.67, 7,111.88 and 3,353.34

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Solution

The fourth proportional to 4,738.67, 7,111.88 and 3,353.34 is: 5,032.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.67 : 7,111.88 = 3,353.34 : x
  2. Step 2: Convert to fraction form
    4,738.67/7,111.88 = 3,353.34/x
  3. Step 3: Cross multiply
    4,738.67x = 7,111.88 × 3,353.34
  4. Step 4: Simplify right side
    4,738.67x = 23,848,569.46
  5. Step 5: Solve for x
    x = 23,848,569.46/4,738.67
  6. Step 6: Final answer
    x = 5,032.75

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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.