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Finding the Fourth Proportional to 7,052.69, 9,733.10 and 3,908.81

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Solution

The fourth proportional to 7,052.69, 9,733.10 and 3,908.81 is: 5,394.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.69 : 9,733.10 = 3,908.81 : x
  2. Step 2: Convert to fraction form
    7,052.69/9,733.10 = 3,908.81/x
  3. Step 3: Cross multiply
    7,052.69x = 9,733.10 × 3,908.81
  4. Step 4: Simplify right side
    7,052.69x = 38,044,770.40
  5. Step 5: Solve for x
    x = 38,044,770.40/7,052.69
  6. Step 6: Final answer
    x = 5,394.37

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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.