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Finding the Fourth Proportional to 4,019.70, 5,546.70 and 2,341.38

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Solution

The fourth proportional to 4,019.70, 5,546.70 and 2,341.38 is: 3,230.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,019.70 : 5,546.70 = 2,341.38 : x
  2. Step 2: Convert to fraction form
    4,019.70/5,546.70 = 2,341.38/x
  3. Step 3: Cross multiply
    4,019.70x = 5,546.70 × 2,341.38
  4. Step 4: Simplify right side
    4,019.70x = 12,986,932.45
  5. Step 5: Solve for x
    x = 12,986,932.45/4,019.70
  6. Step 6: Final answer
    x = 3,230.82

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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.