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Finding the Fourth Proportional to 5,763.38, 7,951.19 and 3,638.14

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Solution

The fourth proportional to 5,763.38, 7,951.19 and 3,638.14 is: 5,019.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.38 : 7,951.19 = 3,638.14 : x
  2. Step 2: Convert to fraction form
    5,763.38/7,951.19 = 3,638.14/x
  3. Step 3: Cross multiply
    5,763.38x = 7,951.19 × 3,638.14
  4. Step 4: Simplify right side
    5,763.38x = 28,927,504.32
  5. Step 5: Solve for x
    x = 28,927,504.32/5,763.38
  6. Step 6: Final answer
    x = 5,019.20

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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.