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Finding the Fourth Proportional to 3,427.58, 5,141.22 and 2,384.57

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Solution

The fourth proportional to 3,427.58, 5,141.22 and 2,384.57 is: 3,576.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.58 : 5,141.22 = 2,384.57 : x
  2. Step 2: Convert to fraction form
    3,427.58/5,141.22 = 2,384.57/x
  3. Step 3: Cross multiply
    3,427.58x = 5,141.22 × 2,384.57
  4. Step 4: Simplify right side
    3,427.58x = 12,259,598.98
  5. Step 5: Solve for x
    x = 12,259,598.98/3,427.58
  6. Step 6: Final answer
    x = 3,576.75

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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.