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Finding the Fourth Proportional to 7,231.50, 9,978.42 and 4,044.41

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Solution

The fourth proportional to 7,231.50, 9,978.42 and 4,044.41 is: 5,580.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.50 : 9,978.42 = 4,044.41 : x
  2. Step 2: Convert to fraction form
    7,231.50/9,978.42 = 4,044.41/x
  3. Step 3: Cross multiply
    7,231.50x = 9,978.42 × 4,044.41
  4. Step 4: Simplify right side
    7,231.50x = 40,356,762.14
  5. Step 5: Solve for x
    x = 40,356,762.14/7,231.50
  6. Step 6: Final answer
    x = 5,580.69

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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.