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Finding the Fourth Proportional to 4,214.54, 5,815.94 and 2,446.32

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Solution

The fourth proportional to 4,214.54, 5,815.94 and 2,446.32 is: 3,375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214.54 : 5,815.94 = 2,446.32 : x
  2. Step 2: Convert to fraction form
    4,214.54/5,815.94 = 2,446.32/x
  3. Step 3: Cross multiply
    4,214.54x = 5,815.94 × 2,446.32
  4. Step 4: Simplify right side
    4,214.54x = 14,227,650.34
  5. Step 5: Solve for x
    x = 14,227,650.34/4,214.54
  6. Step 6: Final answer
    x = 3,375.85

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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.