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Finding the Fourth Proportional to 3,564.28, 5,343.17 and 1,615.42

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Solution

The fourth proportional to 3,564.28, 5,343.17 and 1,615.42 is: 2,421.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.28 : 5,343.17 = 1,615.42 : x
  2. Step 2: Convert to fraction form
    3,564.28/5,343.17 = 1,615.42/x
  3. Step 3: Cross multiply
    3,564.28x = 5,343.17 × 1,615.42
  4. Step 4: Simplify right side
    3,564.28x = 8,631,436.97
  5. Step 5: Solve for x
    x = 8,631,436.97/3,564.28
  6. Step 6: Final answer
    x = 2,421.65

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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.