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Finding the Fourth Proportional to 5,152.26, 7,725.09 and 3,395.22

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Solution

The fourth proportional to 5,152.26, 7,725.09 and 3,395.22 is: 5,090.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.26 : 7,725.09 = 3,395.22 : x
  2. Step 2: Convert to fraction form
    5,152.26/7,725.09 = 3,395.22/x
  3. Step 3: Cross multiply
    5,152.26x = 7,725.09 × 3,395.22
  4. Step 4: Simplify right side
    5,152.26x = 26,228,380.07
  5. Step 5: Solve for x
    x = 26,228,380.07/5,152.26
  6. Step 6: Final answer
    x = 5,090.66

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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.