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Finding the Fourth Proportional to 3,453.96, 4,768.92 and 2,128.08

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Solution

The fourth proportional to 3,453.96, 4,768.92 and 2,128.08 is: 2,938.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.96 : 4,768.92 = 2,128.08 : x
  2. Step 2: Convert to fraction form
    3,453.96/4,768.92 = 2,128.08/x
  3. Step 3: Cross multiply
    3,453.96x = 4,768.92 × 2,128.08
  4. Step 4: Simplify right side
    3,453.96x = 10,148,643.27
  5. Step 5: Solve for x
    x = 10,148,643.27/3,453.96
  6. Step 6: Final answer
    x = 2,938.26

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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.