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Finding the Fourth Proportional to 3,911.72, 5,404.26 and 3,328.36

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Solution

The fourth proportional to 3,911.72, 5,404.26 and 3,328.36 is: 4,598.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.72 : 5,404.26 = 3,328.36 : x
  2. Step 2: Convert to fraction form
    3,911.72/5,404.26 = 3,328.36/x
  3. Step 3: Cross multiply
    3,911.72x = 5,404.26 × 3,328.36
  4. Step 4: Simplify right side
    3,911.72x = 17,987,322.81
  5. Step 5: Solve for x
    x = 17,987,322.81/3,911.72
  6. Step 6: Final answer
    x = 4,598.32

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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.