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Finding the Fourth Proportional to 3,852.08, 5,778.10 and 930.38

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Solution

The fourth proportional to 3,852.08, 5,778.10 and 930.38 is: 1,395.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.08 : 5,778.10 = 930.38 : x
  2. Step 2: Convert to fraction form
    3,852.08/5,778.10 = 930.38/x
  3. Step 3: Cross multiply
    3,852.08x = 5,778.10 × 930.38
  4. Step 4: Simplify right side
    3,852.08x = 5,375,800.95
  5. Step 5: Solve for x
    x = 5,375,800.95/3,852.08
  6. Step 6: Final answer
    x = 1,395.56

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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.