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Finding the Fourth Proportional to 3,741.36, 5,611.72 and 1,276.24

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Solution

The fourth proportional to 3,741.36, 5,611.72 and 1,276.24 is: 1,914.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.36 : 5,611.72 = 1,276.24 : x
  2. Step 2: Convert to fraction form
    3,741.36/5,611.72 = 1,276.24/x
  3. Step 3: Cross multiply
    3,741.36x = 5,611.72 × 1,276.24
  4. Step 4: Simplify right side
    3,741.36x = 7,161,901.53
  5. Step 5: Solve for x
    x = 7,161,901.53/3,741.36
  6. Step 6: Final answer
    x = 1,914.25

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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.