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Finding the Fourth Proportional to 3,538.89, 5,302.26 and 3,230.28

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Solution

The fourth proportional to 3,538.89, 5,302.26 and 3,230.28 is: 4,839.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.89 : 5,302.26 = 3,230.28 : x
  2. Step 2: Convert to fraction form
    3,538.89/5,302.26 = 3,230.28/x
  3. Step 3: Cross multiply
    3,538.89x = 5,302.26 × 3,230.28
  4. Step 4: Simplify right side
    3,538.89x = 17,127,784.43
  5. Step 5: Solve for x
    x = 17,127,784.43/3,538.89
  6. Step 6: Final answer
    x = 4,839.87

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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.