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Finding the Fourth Proportional to 5,949.71, 8,210.46 and 3,431.82

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Solution

The fourth proportional to 5,949.71, 8,210.46 and 3,431.82 is: 4,735.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.71 : 8,210.46 = 3,431.82 : x
  2. Step 2: Convert to fraction form
    5,949.71/8,210.46 = 3,431.82/x
  3. Step 3: Cross multiply
    5,949.71x = 8,210.46 × 3,431.82
  4. Step 4: Simplify right side
    5,949.71x = 28,176,820.84
  5. Step 5: Solve for x
    x = 28,176,820.84/5,949.71
  6. Step 6: Final answer
    x = 4,735.83

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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.