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Finding the Fourth Proportional to 5,072.41, 7,609.82 and 1,609.66

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Solution

The fourth proportional to 5,072.41, 7,609.82 and 1,609.66 is: 2,414.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.41 : 7,609.82 = 1,609.66 : x
  2. Step 2: Convert to fraction form
    5,072.41/7,609.82 = 1,609.66/x
  3. Step 3: Cross multiply
    5,072.41x = 7,609.82 × 1,609.66
  4. Step 4: Simplify right side
    5,072.41x = 12,249,222.86
  5. Step 5: Solve for x
    x = 12,249,222.86/5,072.41
  6. Step 6: Final answer
    x = 2,414.87

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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.