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Finding the Fourth Proportional to 4,606.20, 6,910.65 and 1,486.69

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Solution

The fourth proportional to 4,606.20, 6,910.65 and 1,486.69 is: 2,230.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.20 : 6,910.65 = 1,486.69 : x
  2. Step 2: Convert to fraction form
    4,606.20/6,910.65 = 1,486.69/x
  3. Step 3: Cross multiply
    4,606.20x = 6,910.65 × 1,486.69
  4. Step 4: Simplify right side
    4,606.20x = 10,273,976.97
  5. Step 5: Solve for x
    x = 10,273,976.97/4,606.20
  6. Step 6: Final answer
    x = 2,230.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.