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Finding the Fourth Proportional to 5,763.38, 7,952.04 and 3,245

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Solution

The fourth proportional to 5,763.38, 7,952.04 and 3,245 is: 4,477.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.38 : 7,952.04 = 3,245 : x
  2. Step 2: Convert to fraction form
    5,763.38/7,952.04 = 3,245/x
  3. Step 3: Cross multiply
    5,763.38x = 7,952.04 × 3,245
  4. Step 4: Simplify right side
    5,763.38x = 25,804,369.80
  5. Step 5: Solve for x
    x = 25,804,369.80/5,763.38
  6. Step 6: Final answer
    x = 4,477.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.