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Finding the Fourth Proportional to 4,777.23, 7,153.16 and 3,214.83

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Solution

The fourth proportional to 4,777.23, 7,153.16 and 3,214.83 is: 4,813.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.23 : 7,153.16 = 3,214.83 : x
  2. Step 2: Convert to fraction form
    4,777.23/7,153.16 = 3,214.83/x
  3. Step 3: Cross multiply
    4,777.23x = 7,153.16 × 3,214.83
  4. Step 4: Simplify right side
    4,777.23x = 22,996,177.29
  5. Step 5: Solve for x
    x = 22,996,177.29/4,777.23
  6. Step 6: Final answer
    x = 4,813.71

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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.