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Finding the Fourth Proportional to 5,734.28, 8,584.39 and 3,129.32

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Solution

The fourth proportional to 5,734.28, 8,584.39 and 3,129.32 is: 4,684.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.28 : 8,584.39 = 3,129.32 : x
  2. Step 2: Convert to fraction form
    5,734.28/8,584.39 = 3,129.32/x
  3. Step 3: Cross multiply
    5,734.28x = 8,584.39 × 3,129.32
  4. Step 4: Simplify right side
    5,734.28x = 26,863,303.31
  5. Step 5: Solve for x
    x = 26,863,303.31/5,734.28
  6. Step 6: Final answer
    x = 4,684.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.