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Finding the Fourth Proportional to 5,268.99, 7,255.53 and 3,774.34

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Solution

The fourth proportional to 5,268.99, 7,255.53 and 3,774.34 is: 5,197.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,268.99 : 7,255.53 = 3,774.34 : x
  2. Step 2: Convert to fraction form
    5,268.99/7,255.53 = 3,774.34/x
  3. Step 3: Cross multiply
    5,268.99x = 7,255.53 × 3,774.34
  4. Step 4: Simplify right side
    5,268.99x = 27,384,837.10
  5. Step 5: Solve for x
    x = 27,384,837.10/5,268.99
  6. Step 6: Final answer
    x = 5,197.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.