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Finding the Fourth Proportional to 5,709.58, 8,564.24 and 2,631.58

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Solution

The fourth proportional to 5,709.58, 8,564.24 and 2,631.58 is: 3,947.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.58 : 8,564.24 = 2,631.58 : x
  2. Step 2: Convert to fraction form
    5,709.58/8,564.24 = 2,631.58/x
  3. Step 3: Cross multiply
    5,709.58x = 8,564.24 × 2,631.58
  4. Step 4: Simplify right side
    5,709.58x = 22,537,439.88
  5. Step 5: Solve for x
    x = 22,537,439.88/5,709.58
  6. Step 6: Final answer
    x = 3,947.31

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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.