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Finding the Fourth Proportional to 5,611.96, 7,744.64 and 3,094.24

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Solution

The fourth proportional to 5,611.96, 7,744.64 and 3,094.24 is: 4,270.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,611.96 : 7,744.64 = 3,094.24 : x
  2. Step 2: Convert to fraction form
    5,611.96/7,744.64 = 3,094.24/x
  3. Step 3: Cross multiply
    5,611.96x = 7,744.64 × 3,094.24
  4. Step 4: Simplify right side
    5,611.96x = 23,963,774.87
  5. Step 5: Solve for x
    x = 23,963,774.87/5,611.96
  6. Step 6: Final answer
    x = 4,270.13

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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.