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Finding the Fourth Proportional to 4,283.49, 5,905.53 and 3,846.09

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Solution

The fourth proportional to 4,283.49, 5,905.53 and 3,846.09 is: 5,302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,283.49 : 5,905.53 = 3,846.09 : x
  2. Step 2: Convert to fraction form
    4,283.49/5,905.53 = 3,846.09/x
  3. Step 3: Cross multiply
    4,283.49x = 5,905.53 × 3,846.09
  4. Step 4: Simplify right side
    4,283.49x = 22,713,199.88
  5. Step 5: Solve for x
    x = 22,713,199.88/4,283.49
  6. Step 6: Final answer
    x = 5,302.50

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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.