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Finding the Fourth Proportional to 5,768.24, 7,960.32 and 3,530.07

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Solution

The fourth proportional to 5,768.24, 7,960.32 and 3,530.07 is: 4,871.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.24 : 7,960.32 = 3,530.07 : x
  2. Step 2: Convert to fraction form
    5,768.24/7,960.32 = 3,530.07/x
  3. Step 3: Cross multiply
    5,768.24x = 7,960.32 × 3,530.07
  4. Step 4: Simplify right side
    5,768.24x = 28,100,486.82
  5. Step 5: Solve for x
    x = 28,100,486.82/5,768.24
  6. Step 6: Final answer
    x = 4,871.59

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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.