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Finding the Fourth Proportional to 3,884.56, 5,361 and 3,262.48

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Solution

The fourth proportional to 3,884.56, 5,361 and 3,262.48 is: 4,502.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.56 : 5,361 = 3,262.48 : x
  2. Step 2: Convert to fraction form
    3,884.56/5,361 = 3,262.48/x
  3. Step 3: Cross multiply
    3,884.56x = 5,361 × 3,262.48
  4. Step 4: Simplify right side
    3,884.56x = 17,490,155.28
  5. Step 5: Solve for x
    x = 17,490,155.28/3,884.56
  6. Step 6: Final answer
    x = 4,502.48

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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.