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Finding the Fourth Proportional to 5,719.90, 8,576.51 and 2,209.31

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Solution

The fourth proportional to 5,719.90, 8,576.51 and 2,209.31 is: 3,312.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,719.90 : 8,576.51 = 2,209.31 : x
  2. Step 2: Convert to fraction form
    5,719.90/8,576.51 = 2,209.31/x
  3. Step 3: Cross multiply
    5,719.90x = 8,576.51 × 2,209.31
  4. Step 4: Simplify right side
    5,719.90x = 18,948,169.31
  5. Step 5: Solve for x
    x = 18,948,169.31/5,719.90
  6. Step 6: Final answer
    x = 3,312.67

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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.