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Finding the Fourth Proportional to 5,730.14, 8,594.19 and 2,609.42

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Solution

The fourth proportional to 5,730.14, 8,594.19 and 2,609.42 is: 3,913.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.14 : 8,594.19 = 2,609.42 : x
  2. Step 2: Convert to fraction form
    5,730.14/8,594.19 = 2,609.42/x
  3. Step 3: Cross multiply
    5,730.14x = 8,594.19 × 2,609.42
  4. Step 4: Simplify right side
    5,730.14x = 22,425,851.27
  5. Step 5: Solve for x
    x = 22,425,851.27/5,730.14
  6. Step 6: Final answer
    x = 3,913.67

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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.