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Finding the Fourth Proportional to 5,334, 7,362 and 3,096.36

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Solution

The fourth proportional to 5,334, 7,362 and 3,096.36 is: 4,273.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,334 : 7,362 = 3,096.36 : x
  2. Step 2: Convert to fraction form
    5,334/7,362 = 3,096.36/x
  3. Step 3: Cross multiply
    5,334x = 7,362 × 3,096.36
  4. Step 4: Simplify right side
    5,334x = 22,795,402.32
  5. Step 5: Solve for x
    x = 22,795,402.32/5,334
  6. Step 6: Final answer
    x = 4,273.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.