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Finding the Fourth Proportional to 3,511.95, 5,269.34 and 1,562.82

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Solution

The fourth proportional to 3,511.95, 5,269.34 and 1,562.82 is: 2,344.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.95 : 5,269.34 = 1,562.82 : x
  2. Step 2: Convert to fraction form
    3,511.95/5,269.34 = 1,562.82/x
  3. Step 3: Cross multiply
    3,511.95x = 5,269.34 × 1,562.82
  4. Step 4: Simplify right side
    3,511.95x = 8,234,995.78
  5. Step 5: Solve for x
    x = 8,234,995.78/3,511.95
  6. Step 6: Final answer
    x = 2,344.85

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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.