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Finding the Fourth Proportional to 4,230.38, 6,347.86 and 1,765.41

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Solution

The fourth proportional to 4,230.38, 6,347.86 and 1,765.41 is: 2,649.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.38 : 6,347.86 = 1,765.41 : x
  2. Step 2: Convert to fraction form
    4,230.38/6,347.86 = 1,765.41/x
  3. Step 3: Cross multiply
    4,230.38x = 6,347.86 × 1,765.41
  4. Step 4: Simplify right side
    4,230.38x = 11,206,566.70
  5. Step 5: Solve for x
    x = 11,206,566.70/4,230.38
  6. Step 6: Final answer
    x = 2,649.07

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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.