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Finding the Fourth Proportional to 5,920.78, 8,170.40 and 3,401.12

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Solution

The fourth proportional to 5,920.78, 8,170.40 and 3,401.12 is: 4,693.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,920.78 : 8,170.40 = 3,401.12 : x
  2. Step 2: Convert to fraction form
    5,920.78/8,170.40 = 3,401.12/x
  3. Step 3: Cross multiply
    5,920.78x = 8,170.40 × 3,401.12
  4. Step 4: Simplify right side
    5,920.78x = 27,788,510.85
  5. Step 5: Solve for x
    x = 27,788,510.85/5,920.78
  6. Step 6: Final answer
    x = 4,693.39

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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.