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Finding the Fourth Proportional to 6,322.53, 8,724.92 and 3,489.86

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Solution

The fourth proportional to 6,322.53, 8,724.92 and 3,489.86 is: 4,815.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.53 : 8,724.92 = 3,489.86 : x
  2. Step 2: Convert to fraction form
    6,322.53/8,724.92 = 3,489.86/x
  3. Step 3: Cross multiply
    6,322.53x = 8,724.92 × 3,489.86
  4. Step 4: Simplify right side
    6,322.53x = 30,448,688.24
  5. Step 5: Solve for x
    x = 30,448,688.24/6,322.53
  6. Step 6: Final answer
    x = 4,815.90

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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.