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Finding the Fourth Proportional to 5,947.71, 8,208.99 and 3,431.45

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Solution

The fourth proportional to 5,947.71, 8,208.99 and 3,431.45 is: 4,736.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.71 : 8,208.99 = 3,431.45 : x
  2. Step 2: Convert to fraction form
    5,947.71/8,208.99 = 3,431.45/x
  3. Step 3: Cross multiply
    5,947.71x = 8,208.99 × 3,431.45
  4. Step 4: Simplify right side
    5,947.71x = 28,168,689.11
  5. Step 5: Solve for x
    x = 28,168,689.11/5,947.71
  6. Step 6: Final answer
    x = 4,736.06

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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.