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Finding the Fourth Proportional to 5,334.49, 7,360.73 and 3,209.49

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Solution

The fourth proportional to 5,334.49, 7,360.73 and 3,209.49 is: 4,428.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,334.49 : 7,360.73 = 3,209.49 : x
  2. Step 2: Convert to fraction form
    5,334.49/7,360.73 = 3,209.49/x
  3. Step 3: Cross multiply
    5,334.49x = 7,360.73 × 3,209.49
  4. Step 4: Simplify right side
    5,334.49x = 23,624,173.28
  5. Step 5: Solve for x
    x = 23,624,173.28/5,334.49
  6. Step 6: Final answer
    x = 4,428.57

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