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Finding the Fourth Proportional to 5,302.28, 7,952.04 and 2,180.57

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Solution

The fourth proportional to 5,302.28, 7,952.04 and 2,180.57 is: 3,270.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.28 : 7,952.04 = 2,180.57 : x
  2. Step 2: Convert to fraction form
    5,302.28/7,952.04 = 2,180.57/x
  3. Step 3: Cross multiply
    5,302.28x = 7,952.04 × 2,180.57
  4. Step 4: Simplify right side
    5,302.28x = 17,339,984.83
  5. Step 5: Solve for x
    x = 17,339,984.83/5,302.28
  6. Step 6: Final answer
    x = 3,270.29

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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.