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Finding the Fourth Proportional to 3,161.95, 4,732.59 and 2,858.80

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Solution

The fourth proportional to 3,161.95, 4,732.59 and 2,858.80 is: 4,278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.95 : 4,732.59 = 2,858.80 : x
  2. Step 2: Convert to fraction form
    3,161.95/4,732.59 = 2,858.80/x
  3. Step 3: Cross multiply
    3,161.95x = 4,732.59 × 2,858.80
  4. Step 4: Simplify right side
    3,161.95x = 13,529,528.29
  5. Step 5: Solve for x
    x = 13,529,528.29/3,161.95
  6. Step 6: Final answer
    x = 4,278.86

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