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Finding the Fourth Proportional to 3,798.90, 5,242.77 and 2,120.38

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Solution

The fourth proportional to 3,798.90, 5,242.77 and 2,120.38 is: 2,926.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.90 : 5,242.77 = 2,120.38 : x
  2. Step 2: Convert to fraction form
    3,798.90/5,242.77 = 2,120.38/x
  3. Step 3: Cross multiply
    3,798.90x = 5,242.77 × 2,120.38
  4. Step 4: Simplify right side
    3,798.90x = 11,116,627.84
  5. Step 5: Solve for x
    x = 11,116,627.84/3,798.90
  6. Step 6: Final answer
    x = 2,926.28

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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.