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Finding the Fourth Proportional to 6,322, 8,724.36 and 3,527.52

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Solution

The fourth proportional to 6,322, 8,724.36 and 3,527.52 is: 4,867.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322 : 8,724.36 = 3,527.52 : x
  2. Step 2: Convert to fraction form
    6,322/8,724.36 = 3,527.52/x
  3. Step 3: Cross multiply
    6,322x = 8,724.36 × 3,527.52
  4. Step 4: Simplify right side
    6,322x = 30,775,354.39
  5. Step 5: Solve for x
    x = 30,775,354.39/6,322
  6. Step 6: Final answer
    x = 4,867.98

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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.