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Finding the Fourth Proportional to 3,938.88, 5,907.84 and 1,165.44

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Solution

The fourth proportional to 3,938.88, 5,907.84 and 1,165.44 is: 1,748.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,938.88 : 5,907.84 = 1,165.44 : x
  2. Step 2: Convert to fraction form
    3,938.88/5,907.84 = 1,165.44/x
  3. Step 3: Cross multiply
    3,938.88x = 5,907.84 × 1,165.44
  4. Step 4: Simplify right side
    3,938.88x = 6,885,233.05
  5. Step 5: Solve for x
    x = 6,885,233.05/3,938.88
  6. Step 6: Final answer
    x = 1,748.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.