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Finding the Fourth Proportional to 3,558, 4,909.94 and 2,065.82

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Solution

The fourth proportional to 3,558, 4,909.94 and 2,065.82 is: 2,850.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,558 : 4,909.94 = 2,065.82 : x
  2. Step 2: Convert to fraction form
    3,558/4,909.94 = 2,065.82/x
  3. Step 3: Cross multiply
    3,558x = 4,909.94 × 2,065.82
  4. Step 4: Simplify right side
    3,558x = 10,143,017.37
  5. Step 5: Solve for x
    x = 10,143,017.37/3,558
  6. Step 6: Final answer
    x = 2,850.76

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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.