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Finding the Fourth Proportional to 5,763.78, 7,954.04 and 3,245.89

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Solution

The fourth proportional to 5,763.78, 7,954.04 and 3,245.89 is: 4,479.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.78 : 7,954.04 = 3,245.89 : x
  2. Step 2: Convert to fraction form
    5,763.78/7,954.04 = 3,245.89/x
  3. Step 3: Cross multiply
    5,763.78x = 7,954.04 × 3,245.89
  4. Step 4: Simplify right side
    5,763.78x = 25,817,938.90
  5. Step 5: Solve for x
    x = 25,817,938.90/5,763.78
  6. Step 6: Final answer
    x = 4,479.34

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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.