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Finding the Fourth Proportional to 5,734.56, 8,605.62 and 3,139.32

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Solution

The fourth proportional to 5,734.56, 8,605.62 and 3,139.32 is: 4,711.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.56 : 8,605.62 = 3,139.32 : x
  2. Step 2: Convert to fraction form
    5,734.56/8,605.62 = 3,139.32/x
  3. Step 3: Cross multiply
    5,734.56x = 8,605.62 × 3,139.32
  4. Step 4: Simplify right side
    5,734.56x = 27,015,794.98
  5. Step 5: Solve for x
    x = 27,015,794.98/5,734.56
  6. Step 6: Final answer
    x = 4,711.05

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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.