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Finding the Fourth Proportional to 4,214.57, 5,815.80 and 2,446.34

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Solution

The fourth proportional to 4,214.57, 5,815.80 and 2,446.34 is: 3,375.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214.57 : 5,815.80 = 2,446.34 : x
  2. Step 2: Convert to fraction form
    4,214.57/5,815.80 = 2,446.34/x
  3. Step 3: Cross multiply
    4,214.57x = 5,815.80 × 2,446.34
  4. Step 4: Simplify right side
    4,214.57x = 14,227,395.09
  5. Step 5: Solve for x
    x = 14,227,395.09/4,214.57
  6. Step 6: Final answer
    x = 3,375.77

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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.