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Finding the Fourth Proportional to 5,346.57, 8,019.72 and 1,450.88

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Solution

The fourth proportional to 5,346.57, 8,019.72 and 1,450.88 is: 2,176.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.57 : 8,019.72 = 1,450.88 : x
  2. Step 2: Convert to fraction form
    5,346.57/8,019.72 = 1,450.88/x
  3. Step 3: Cross multiply
    5,346.57x = 8,019.72 × 1,450.88
  4. Step 4: Simplify right side
    5,346.57x = 11,635,604.00
  5. Step 5: Solve for x
    x = 11,635,604.00/5,346.57
  6. Step 6: Final answer
    x = 2,176.27

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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.