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Finding the Fourth Proportional to 5,148.69, 7,723.31 and 1,450.63

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Solution

The fourth proportional to 5,148.69, 7,723.31 and 1,450.63 is: 2,176.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.69 : 7,723.31 = 1,450.63 : x
  2. Step 2: Convert to fraction form
    5,148.69/7,723.31 = 1,450.63/x
  3. Step 3: Cross multiply
    5,148.69x = 7,723.31 × 1,450.63
  4. Step 4: Simplify right side
    5,148.69x = 11,203,665.19
  5. Step 5: Solve for x
    x = 11,203,665.19/5,148.69
  6. Step 6: Final answer
    x = 2,176.02

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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.