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Finding the Fourth Proportional to 6,324.16, 8,727.72 and 3,529.84

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Solution

The fourth proportional to 6,324.16, 8,727.72 and 3,529.84 is: 4,871.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.16 : 8,727.72 = 3,529.84 : x
  2. Step 2: Convert to fraction form
    6,324.16/8,727.72 = 3,529.84/x
  3. Step 3: Cross multiply
    6,324.16x = 8,727.72 × 3,529.84
  4. Step 4: Simplify right side
    6,324.16x = 30,807,455.16
  5. Step 5: Solve for x
    x = 30,807,455.16/6,324.16
  6. Step 6: Final answer
    x = 4,871.39

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Why These Related Problems?

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