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Finding the Fourth Proportional to 3,905.43, 5,389.86 and 2,333.49

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Solution

The fourth proportional to 3,905.43, 5,389.86 and 2,333.49 is: 3,220.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.43 : 5,389.86 = 2,333.49 : x
  2. Step 2: Convert to fraction form
    3,905.43/5,389.86 = 2,333.49/x
  3. Step 3: Cross multiply
    3,905.43x = 5,389.86 × 2,333.49
  4. Step 4: Simplify right side
    3,905.43x = 12,577,184.41
  5. Step 5: Solve for x
    x = 12,577,184.41/3,905.43
  6. Step 6: Final answer
    x = 3,220.44

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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.