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Finding the Fourth Proportional to 4,647.52, 6,969 and 2,180.24

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Solution

The fourth proportional to 4,647.52, 6,969 and 2,180.24 is: 3,269.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.52 : 6,969 = 2,180.24 : x
  2. Step 2: Convert to fraction form
    4,647.52/6,969 = 2,180.24/x
  3. Step 3: Cross multiply
    4,647.52x = 6,969 × 2,180.24
  4. Step 4: Simplify right side
    4,647.52x = 15,194,092.56
  5. Step 5: Solve for x
    x = 15,194,092.56/4,647.52
  6. Step 6: Final answer
    x = 3,269.29

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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.