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Finding the Fourth Proportional to 4,644.24, 6,961.50 and 3,409.80

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Solution

The fourth proportional to 4,644.24, 6,961.50 and 3,409.80 is: 5,111.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.24 : 6,961.50 = 3,409.80 : x
  2. Step 2: Convert to fraction form
    4,644.24/6,961.50 = 3,409.80/x
  3. Step 3: Cross multiply
    4,644.24x = 6,961.50 × 3,409.80
  4. Step 4: Simplify right side
    4,644.24x = 23,737,322.70
  5. Step 5: Solve for x
    x = 23,737,322.70/4,644.24
  6. Step 6: Final answer
    x = 5,111.13

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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.