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Finding the Fourth Proportional to 5,134.92, 7,697.64 and 2,791.50

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Solution

The fourth proportional to 5,134.92, 7,697.64 and 2,791.50 is: 4,184.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134.92 : 7,697.64 = 2,791.50 : x
  2. Step 2: Convert to fraction form
    5,134.92/7,697.64 = 2,791.50/x
  3. Step 3: Cross multiply
    5,134.92x = 7,697.64 × 2,791.50
  4. Step 4: Simplify right side
    5,134.92x = 21,487,962.06
  5. Step 5: Solve for x
    x = 21,487,962.06/5,134.92
  6. Step 6: Final answer
    x = 4,184.67

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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.