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Finding the Fourth Proportional to 5,399.77, 7,449.14 and 3,160.26

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Solution

The fourth proportional to 5,399.77, 7,449.14 and 3,160.26 is: 4,359.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,399.77 : 7,449.14 = 3,160.26 : x
  2. Step 2: Convert to fraction form
    5,399.77/7,449.14 = 3,160.26/x
  3. Step 3: Cross multiply
    5,399.77x = 7,449.14 × 3,160.26
  4. Step 4: Simplify right side
    5,399.77x = 23,541,203.38
  5. Step 5: Solve for x
    x = 23,541,203.38/5,399.77
  6. Step 6: Final answer
    x = 4,359.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.