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Finding the Fourth Proportional to 4,771.53, 7,145.06 and 3,123.27

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Solution

The fourth proportional to 4,771.53, 7,145.06 and 3,123.27 is: 4,676.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.53 : 7,145.06 = 3,123.27 : x
  2. Step 2: Convert to fraction form
    4,771.53/7,145.06 = 3,123.27/x
  3. Step 3: Cross multiply
    4,771.53x = 7,145.06 × 3,123.27
  4. Step 4: Simplify right side
    4,771.53x = 22,315,935.93
  5. Step 5: Solve for x
    x = 22,315,935.93/4,771.53
  6. Step 6: Final answer
    x = 4,676.89

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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.