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Finding the Fourth Proportional to 5,696.77, 8,540.89 and 3,842.68

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Solution

The fourth proportional to 5,696.77, 8,540.89 and 3,842.68 is: 5,761.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.77 : 8,540.89 = 3,842.68 : x
  2. Step 2: Convert to fraction form
    5,696.77/8,540.89 = 3,842.68/x
  3. Step 3: Cross multiply
    5,696.77x = 8,540.89 × 3,842.68
  4. Step 4: Simplify right side
    5,696.77x = 32,819,907.19
  5. Step 5: Solve for x
    x = 32,819,907.19/5,696.77
  6. Step 6: Final answer
    x = 5,761.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.