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Finding the Fourth Proportional to 5,730.56, 8,594.82 and 3,096.84

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Solution

The fourth proportional to 5,730.56, 8,594.82 and 3,096.84 is: 4,644.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.56 : 8,594.82 = 3,096.84 : x
  2. Step 2: Convert to fraction form
    5,730.56/8,594.82 = 3,096.84/x
  3. Step 3: Cross multiply
    5,730.56x = 8,594.82 × 3,096.84
  4. Step 4: Simplify right side
    5,730.56x = 26,616,782.37
  5. Step 5: Solve for x
    x = 26,616,782.37/5,730.56
  6. Step 6: Final answer
    x = 4,644.71

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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.