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Finding the Fourth Proportional to 4,973.29, 6,863.16 and 2,983.84

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Solution

The fourth proportional to 4,973.29, 6,863.16 and 2,983.84 is: 4,117.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.29 : 6,863.16 = 2,983.84 : x
  2. Step 2: Convert to fraction form
    4,973.29/6,863.16 = 2,983.84/x
  3. Step 3: Cross multiply
    4,973.29x = 6,863.16 × 2,983.84
  4. Step 4: Simplify right side
    4,973.29x = 20,478,571.33
  5. Step 5: Solve for x
    x = 20,478,571.33/4,973.29
  6. Step 6: Final answer
    x = 4,117.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.