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Finding the Fourth Proportional to 3,577.57, 4,937.15 and 2,086.46

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Solution

The fourth proportional to 3,577.57, 4,937.15 and 2,086.46 is: 2,879.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.57 : 4,937.15 = 2,086.46 : x
  2. Step 2: Convert to fraction form
    3,577.57/4,937.15 = 2,086.46/x
  3. Step 3: Cross multiply
    3,577.57x = 4,937.15 × 2,086.46
  4. Step 4: Simplify right side
    3,577.57x = 10,301,165.03
  5. Step 5: Solve for x
    x = 10,301,165.03/3,577.57
  6. Step 6: Final answer
    x = 2,879.38

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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.