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Finding the Fourth Proportional to 4,279.94, 5,906 and 2,511.30

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Solution

The fourth proportional to 4,279.94, 5,906 and 2,511.30 is: 3,465.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,279.94 : 5,906 = 2,511.30 : x
  2. Step 2: Convert to fraction form
    4,279.94/5,906 = 2,511.30/x
  3. Step 3: Cross multiply
    4,279.94x = 5,906 × 2,511.30
  4. Step 4: Simplify right side
    4,279.94x = 14,831,737.80
  5. Step 5: Solve for x
    x = 14,831,737.80/4,279.94
  6. Step 6: Final answer
    x = 3,465.41

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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.