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Finding the Fourth Proportional to 3,928.89, 5,893.02 and 2,284.38

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Solution

The fourth proportional to 3,928.89, 5,893.02 and 2,284.38 is: 3,426.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,928.89 : 5,893.02 = 2,284.38 : x
  2. Step 2: Convert to fraction form
    3,928.89/5,893.02 = 2,284.38/x
  3. Step 3: Cross multiply
    3,928.89x = 5,893.02 × 2,284.38
  4. Step 4: Simplify right side
    3,928.89x = 13,461,897.03
  5. Step 5: Solve for x
    x = 13,461,897.03/3,928.89
  6. Step 6: Final answer
    x = 3,426.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.