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Finding the Fourth Proportional to 5,133.70, 7,084.56 and 3,365.30

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Solution

The fourth proportional to 5,133.70, 7,084.56 and 3,365.30 is: 4,644.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.70 : 7,084.56 = 3,365.30 : x
  2. Step 2: Convert to fraction form
    5,133.70/7,084.56 = 3,365.30/x
  3. Step 3: Cross multiply
    5,133.70x = 7,084.56 × 3,365.30
  4. Step 4: Simplify right side
    5,133.70x = 23,841,660.25
  5. Step 5: Solve for x
    x = 23,841,660.25/5,133.70
  6. Step 6: Final answer
    x = 4,644.14

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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.