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Finding the Fourth Proportional to 4,852.34, 7,270.62 and 3,393.14

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Solution

The fourth proportional to 4,852.34, 7,270.62 and 3,393.14 is: 5,084.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852.34 : 7,270.62 = 3,393.14 : x
  2. Step 2: Convert to fraction form
    4,852.34/7,270.62 = 3,393.14/x
  3. Step 3: Cross multiply
    4,852.34x = 7,270.62 × 3,393.14
  4. Step 4: Simplify right side
    4,852.34x = 24,670,231.55
  5. Step 5: Solve for x
    x = 24,670,231.55/4,852.34
  6. Step 6: Final answer
    x = 5,084.19

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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.