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Finding the Fourth Proportional to 3,902.70, 5,379.40 and 3,050.46

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Solution

The fourth proportional to 3,902.70, 5,379.40 and 3,050.46 is: 4,204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.70 : 5,379.40 = 3,050.46 : x
  2. Step 2: Convert to fraction form
    3,902.70/5,379.40 = 3,050.46/x
  3. Step 3: Cross multiply
    3,902.70x = 5,379.40 × 3,050.46
  4. Step 4: Simplify right side
    3,902.70x = 16,409,650.35
  5. Step 5: Solve for x
    x = 16,409,650.35/3,902.70
  6. Step 6: Final answer
    x = 4,204.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.