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Finding the Fourth Proportional to 3,833.96, 5,290.38 and 2,155.16

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Solution

The fourth proportional to 3,833.96, 5,290.38 and 2,155.16 is: 2,973.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.96 : 5,290.38 = 2,155.16 : x
  2. Step 2: Convert to fraction form
    3,833.96/5,290.38 = 2,155.16/x
  3. Step 3: Cross multiply
    3,833.96x = 5,290.38 × 2,155.16
  4. Step 4: Simplify right side
    3,833.96x = 11,401,628.59
  5. Step 5: Solve for x
    x = 11,401,628.59/3,833.96
  6. Step 6: Final answer
    x = 2,973.86

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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.