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Finding the Fourth Proportional to 4,902.88, 7,352.32 and 2,436.80

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Solution

The fourth proportional to 4,902.88, 7,352.32 and 2,436.80 is: 3,654.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.88 : 7,352.32 = 2,436.80 : x
  2. Step 2: Convert to fraction form
    4,902.88/7,352.32 = 2,436.80/x
  3. Step 3: Cross multiply
    4,902.88x = 7,352.32 × 2,436.80
  4. Step 4: Simplify right side
    4,902.88x = 17,916,133.38
  5. Step 5: Solve for x
    x = 17,916,133.38/4,902.88
  6. Step 6: Final answer
    x = 3,654.21

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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.