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Finding the Fourth Proportional to 4,213.76, 5,815.14 and 2,446.34

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Solution

The fourth proportional to 4,213.76, 5,815.14 and 2,446.34 is: 3,376.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213.76 : 5,815.14 = 2,446.34 : x
  2. Step 2: Convert to fraction form
    4,213.76/5,815.14 = 2,446.34/x
  3. Step 3: Cross multiply
    4,213.76x = 5,815.14 × 2,446.34
  4. Step 4: Simplify right side
    4,213.76x = 14,225,809.59
  5. Step 5: Solve for x
    x = 14,225,809.59/4,213.76
  6. Step 6: Final answer
    x = 3,376.04

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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.