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Finding the Fourth Proportional to 5,768.14, 7,959.60 and 3,529.09

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Solution

The fourth proportional to 5,768.14, 7,959.60 and 3,529.09 is: 4,869.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.14 : 7,959.60 = 3,529.09 : x
  2. Step 2: Convert to fraction form
    5,768.14/7,959.60 = 3,529.09/x
  3. Step 3: Cross multiply
    5,768.14x = 7,959.60 × 3,529.09
  4. Step 4: Simplify right side
    5,768.14x = 28,090,144.76
  5. Step 5: Solve for x
    x = 28,090,144.76/5,768.14
  6. Step 6: Final answer
    x = 4,869.88

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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.