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Finding the Fourth Proportional to 5,699.44, 7,865.27 and 3,341.60

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Solution

The fourth proportional to 5,699.44, 7,865.27 and 3,341.60 is: 4,611.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.44 : 7,865.27 = 3,341.60 : x
  2. Step 2: Convert to fraction form
    5,699.44/7,865.27 = 3,341.60/x
  3. Step 3: Cross multiply
    5,699.44x = 7,865.27 × 3,341.60
  4. Step 4: Simplify right side
    5,699.44x = 26,282,586.23
  5. Step 5: Solve for x
    x = 26,282,586.23/5,699.44
  6. Step 6: Final answer
    x = 4,611.43

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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.