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Finding the Fourth Proportional to 4,647.33, 6,972.02 and 2,182.18

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Solution

The fourth proportional to 4,647.33, 6,972.02 and 2,182.18 is: 3,273.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.33 : 6,972.02 = 2,182.18 : x
  2. Step 2: Convert to fraction form
    4,647.33/6,972.02 = 2,182.18/x
  3. Step 3: Cross multiply
    4,647.33x = 6,972.02 × 2,182.18
  4. Step 4: Simplify right side
    4,647.33x = 15,214,202.60
  5. Step 5: Solve for x
    x = 15,214,202.60/4,647.33
  6. Step 6: Final answer
    x = 3,273.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.