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Finding the Fourth Proportional to 3,436.92, 4,744.44 and 2,649.60

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Solution

The fourth proportional to 3,436.92, 4,744.44 and 2,649.60 is: 3,657.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.92 : 4,744.44 = 2,649.60 : x
  2. Step 2: Convert to fraction form
    3,436.92/4,744.44 = 2,649.60/x
  3. Step 3: Cross multiply
    3,436.92x = 4,744.44 × 2,649.60
  4. Step 4: Simplify right side
    3,436.92x = 12,570,868.22
  5. Step 5: Solve for x
    x = 12,570,868.22/3,436.92
  6. Step 6: Final answer
    x = 3,657.60

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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.