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Finding the Fourth Proportional to 4,283.89, 5,914.62 and 3,287.39

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Solution

The fourth proportional to 4,283.89, 5,914.62 and 3,287.39 is: 4,538.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,283.89 : 5,914.62 = 3,287.39 : x
  2. Step 2: Convert to fraction form
    4,283.89/5,914.62 = 3,287.39/x
  3. Step 3: Cross multiply
    4,283.89x = 5,914.62 × 3,287.39
  4. Step 4: Simplify right side
    4,283.89x = 19,443,633.07
  5. Step 5: Solve for x
    x = 19,443,633.07/4,283.89
  6. Step 6: Final answer
    x = 4,538.78

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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.