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Finding the Fourth Proportional to 4,824.14, 7,236.20 and 4,215.42

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Solution

The fourth proportional to 4,824.14, 7,236.20 and 4,215.42 is: 6,323.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824.14 : 7,236.20 = 4,215.42 : x
  2. Step 2: Convert to fraction form
    4,824.14/7,236.20 = 4,215.42/x
  3. Step 3: Cross multiply
    4,824.14x = 7,236.20 × 4,215.42
  4. Step 4: Simplify right side
    4,824.14x = 30,503,632.74
  5. Step 5: Solve for x
    x = 30,503,632.74/4,824.14
  6. Step 6: Final answer
    x = 6,323.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.