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Finding the Fourth Proportional to 4,643.38, 6,965.13 and 1,721.69

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Solution

The fourth proportional to 4,643.38, 6,965.13 and 1,721.69 is: 2,582.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.38 : 6,965.13 = 1,721.69 : x
  2. Step 2: Convert to fraction form
    4,643.38/6,965.13 = 1,721.69/x
  3. Step 3: Cross multiply
    4,643.38x = 6,965.13 × 1,721.69
  4. Step 4: Simplify right side
    4,643.38x = 11,991,794.67
  5. Step 5: Solve for x
    x = 11,991,794.67/4,643.38
  6. Step 6: Final answer
    x = 2,582.56

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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.