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Finding the Fourth Proportional to 7,188.80, 9,920.00 and 4,044.38

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Solution

The fourth proportional to 7,188.80, 9,920.00 and 4,044.38 is: 5,580.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.80 : 9,920.00 = 4,044.38 : x
  2. Step 2: Convert to fraction form
    7,188.80/9,920.00 = 4,044.38/x
  3. Step 3: Cross multiply
    7,188.80x = 9,920.00 × 4,044.38
  4. Step 4: Simplify right side
    7,188.80x = 40,120,179.78
  5. Step 5: Solve for x
    x = 40,120,179.78/7,188.80
  6. Step 6: Final answer
    x = 5,580.93

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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.