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Finding the Fourth Proportional to 3,798.62, 5,241.98 and 2,120.02

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Solution

The fourth proportional to 3,798.62, 5,241.98 and 2,120.02 is: 2,925.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.62 : 5,241.98 = 2,120.02 : x
  2. Step 2: Convert to fraction form
    3,798.62/5,241.98 = 2,120.02/x
  3. Step 3: Cross multiply
    3,798.62x = 5,241.98 × 2,120.02
  4. Step 4: Simplify right side
    3,798.62x = 11,113,102.44
  5. Step 5: Solve for x
    x = 11,113,102.44/3,798.62
  6. Step 6: Final answer
    x = 2,925.56

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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.