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Finding the Fourth Proportional to 3,427.50, 4,729.95 and 1,855.59

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Solution

The fourth proportional to 3,427.50, 4,729.95 and 1,855.59 is: 2,560.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.50 : 4,729.95 = 1,855.59 : x
  2. Step 2: Convert to fraction form
    3,427.50/4,729.95 = 1,855.59/x
  3. Step 3: Cross multiply
    3,427.50x = 4,729.95 × 1,855.59
  4. Step 4: Simplify right side
    3,427.50x = 8,776,847.92
  5. Step 5: Solve for x
    x = 8,776,847.92/3,427.50
  6. Step 6: Final answer
    x = 2,560.71

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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.