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Finding the Fourth Proportional to 5,611.44, 7,749.36 and 4,620

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Solution

The fourth proportional to 5,611.44, 7,749.36 and 4,620 is: 6,380.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,611.44 : 7,749.36 = 4,620 : x
  2. Step 2: Convert to fraction form
    5,611.44/7,749.36 = 4,620/x
  3. Step 3: Cross multiply
    5,611.44x = 7,749.36 × 4,620
  4. Step 4: Simplify right side
    5,611.44x = 35,802,043.20
  5. Step 5: Solve for x
    x = 35,802,043.20/5,611.44
  6. Step 6: Final answer
    x = 6,380.19

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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.