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Finding the Fourth Proportional to 3,875.38, 5,362.09 and 3,379.05

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Solution

The fourth proportional to 3,875.38, 5,362.09 and 3,379.05 is: 4,675.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.38 : 5,362.09 = 3,379.05 : x
  2. Step 2: Convert to fraction form
    3,875.38/5,362.09 = 3,379.05/x
  3. Step 3: Cross multiply
    3,875.38x = 5,362.09 × 3,379.05
  4. Step 4: Simplify right side
    3,875.38x = 18,118,770.21
  5. Step 5: Solve for x
    x = 18,118,770.21/3,875.38
  6. Step 6: Final answer
    x = 4,675.35

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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.