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Finding the Fourth Proportional to 4,487.70, 6,727.41 and 2,409.16

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Solution

The fourth proportional to 4,487.70, 6,727.41 and 2,409.16 is: 3,611.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,487.70 : 6,727.41 = 2,409.16 : x
  2. Step 2: Convert to fraction form
    4,487.70/6,727.41 = 2,409.16/x
  3. Step 3: Cross multiply
    4,487.70x = 6,727.41 × 2,409.16
  4. Step 4: Simplify right side
    4,487.70x = 16,207,407.08
  5. Step 5: Solve for x
    x = 16,207,407.08/4,487.70
  6. Step 6: Final answer
    x = 3,611.52

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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.