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Finding the Fourth Proportional to 7,079.88, 9,770.58 and 3,936

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Solution

The fourth proportional to 7,079.88, 9,770.58 and 3,936 is: 5,431.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,079.88 : 9,770.58 = 3,936 : x
  2. Step 2: Convert to fraction form
    7,079.88/9,770.58 = 3,936/x
  3. Step 3: Cross multiply
    7,079.88x = 9,770.58 × 3,936
  4. Step 4: Simplify right side
    7,079.88x = 38,457,002.88
  5. Step 5: Solve for x
    x = 38,457,002.88/7,079.88
  6. Step 6: Final answer
    x = 5,431.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.