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Finding the Fourth Proportional to 3,577.80, 4,934.94 and 2,914.68

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Solution

The fourth proportional to 3,577.80, 4,934.94 and 2,914.68 is: 4,020.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.80 : 4,934.94 = 2,914.68 : x
  2. Step 2: Convert to fraction form
    3,577.80/4,934.94 = 2,914.68/x
  3. Step 3: Cross multiply
    3,577.80x = 4,934.94 × 2,914.68
  4. Step 4: Simplify right side
    3,577.80x = 14,383,770.92
  5. Step 5: Solve for x
    x = 14,383,770.92/3,577.80
  6. Step 6: Final answer
    x = 4,020.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.