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Finding the Fourth Proportional to 5,252.44, 7,196.94 and 5,174.68

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Solution

The fourth proportional to 5,252.44, 7,196.94 and 5,174.68 is: 7,090.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.44 : 7,196.94 = 5,174.68 : x
  2. Step 2: Convert to fraction form
    5,252.44/7,196.94 = 5,174.68/x
  3. Step 3: Cross multiply
    5,252.44x = 7,196.94 × 5,174.68
  4. Step 4: Simplify right side
    5,252.44x = 37,241,861.48
  5. Step 5: Solve for x
    x = 37,241,861.48/5,252.44
  6. Step 6: Final answer
    x = 7,090.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.