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Finding the Fourth Proportional to 5,839.12, 8,099.27 and 5,628.97

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Solution

The fourth proportional to 5,839.12, 8,099.27 and 5,628.97 is: 7,807.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839.12 : 8,099.27 = 5,628.97 : x
  2. Step 2: Convert to fraction form
    5,839.12/8,099.27 = 5,628.97/x
  3. Step 3: Cross multiply
    5,839.12x = 8,099.27 × 5,628.97
  4. Step 4: Simplify right side
    5,839.12x = 45,590,547.85
  5. Step 5: Solve for x
    x = 45,590,547.85/5,839.12
  6. Step 6: Final answer
    x = 7,807.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.