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Finding the Fourth Proportional to 3,577.88, 5,367 and 980.84

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Solution

The fourth proportional to 3,577.88, 5,367 and 980.84 is: 1,471.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.88 : 5,367 = 980.84 : x
  2. Step 2: Convert to fraction form
    3,577.88/5,367 = 980.84/x
  3. Step 3: Cross multiply
    3,577.88x = 5,367 × 980.84
  4. Step 4: Simplify right side
    3,577.88x = 5,264,168.28
  5. Step 5: Solve for x
    x = 5,264,168.28/3,577.88
  6. Step 6: Final answer
    x = 1,471.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.