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Finding the Fourth Proportional to 3,934.76, 5,424.92 and 3,224

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Solution

The fourth proportional to 3,934.76, 5,424.92 and 3,224 is: 4,444.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.76 : 5,424.92 = 3,224 : x
  2. Step 2: Convert to fraction form
    3,934.76/5,424.92 = 3,224/x
  3. Step 3: Cross multiply
    3,934.76x = 5,424.92 × 3,224
  4. Step 4: Simplify right side
    3,934.76x = 17,489,942.08
  5. Step 5: Solve for x
    x = 17,489,942.08/3,934.76
  6. Step 6: Final answer
    x = 4,444.98

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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.