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Finding the Fourth Proportional to 3,577.88, 4,937.04 and 2,086.04

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Solution

The fourth proportional to 3,577.88, 4,937.04 and 2,086.04 is: 2,878.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.88 : 4,937.04 = 2,086.04 : x
  2. Step 2: Convert to fraction form
    3,577.88/4,937.04 = 2,086.04/x
  3. Step 3: Cross multiply
    3,577.88x = 4,937.04 × 2,086.04
  4. Step 4: Simplify right side
    3,577.88x = 10,298,862.92
  5. Step 5: Solve for x
    x = 10,298,862.92/3,577.88
  6. Step 6: Final answer
    x = 2,878.48

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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.