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Finding the Fourth Proportional to 4,334.34, 5,982.12 and 2,446.45

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Solution

The fourth proportional to 4,334.34, 5,982.12 and 2,446.45 is: 3,376.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,334.34 : 5,982.12 = 2,446.45 : x
  2. Step 2: Convert to fraction form
    4,334.34/5,982.12 = 2,446.45/x
  3. Step 3: Cross multiply
    4,334.34x = 5,982.12 × 2,446.45
  4. Step 4: Simplify right side
    4,334.34x = 14,634,957.47
  5. Step 5: Solve for x
    x = 14,634,957.47/4,334.34
  6. Step 6: Final answer
    x = 3,376.51

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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.