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Finding the Fourth Proportional to 5,494.67, 8,241.93 and 1,334.72

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Solution

The fourth proportional to 5,494.67, 8,241.93 and 1,334.72 is: 2,002.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.67 : 8,241.93 = 1,334.72 : x
  2. Step 2: Convert to fraction form
    5,494.67/8,241.93 = 1,334.72/x
  3. Step 3: Cross multiply
    5,494.67x = 8,241.93 × 1,334.72
  4. Step 4: Simplify right side
    5,494.67x = 11,000,668.81
  5. Step 5: Solve for x
    x = 11,000,668.81/5,494.67
  6. Step 6: Final answer
    x = 2,002.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.