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Finding the Fourth Proportional to 3,511.05, 5,251.06 and 3,123.78

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Solution

The fourth proportional to 3,511.05, 5,251.06 and 3,123.78 is: 4,671.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.05 : 5,251.06 = 3,123.78 : x
  2. Step 2: Convert to fraction form
    3,511.05/5,251.06 = 3,123.78/x
  3. Step 3: Cross multiply
    3,511.05x = 5,251.06 × 3,123.78
  4. Step 4: Simplify right side
    3,511.05x = 16,403,156.21
  5. Step 5: Solve for x
    x = 16,403,156.21/3,511.05
  6. Step 6: Final answer
    x = 4,671.87

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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.