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Finding the Fourth Proportional to 7,044.54, 9,720.93 and 3,900.66

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Solution

The fourth proportional to 7,044.54, 9,720.93 and 3,900.66 is: 5,382.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,044.54 : 9,720.93 = 3,900.66 : x
  2. Step 2: Convert to fraction form
    7,044.54/9,720.93 = 3,900.66/x
  3. Step 3: Cross multiply
    7,044.54x = 9,720.93 × 3,900.66
  4. Step 4: Simplify right side
    7,044.54x = 37,918,042.81
  5. Step 5: Solve for x
    x = 37,918,042.81/7,044.54
  6. Step 6: Final answer
    x = 5,382.61

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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.