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Finding the Fourth Proportional to 4,659.93, 6,983.82 and 2,319.84

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Solution

The fourth proportional to 4,659.93, 6,983.82 and 2,319.84 is: 3,476.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.93 : 6,983.82 = 2,319.84 : x
  2. Step 2: Convert to fraction form
    4,659.93/6,983.82 = 2,319.84/x
  3. Step 3: Cross multiply
    4,659.93x = 6,983.82 × 2,319.84
  4. Step 4: Simplify right side
    4,659.93x = 16,201,344.99
  5. Step 5: Solve for x
    x = 16,201,344.99/4,659.93
  6. Step 6: Final answer
    x = 3,476.74

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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.