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Finding the Fourth Proportional to 4,658.00, 6,428.43 and 2,768.63

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Solution

The fourth proportional to 4,658.00, 6,428.43 and 2,768.63 is: 3,820.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.00 : 6,428.43 = 2,768.63 : x
  2. Step 2: Convert to fraction form
    4,658.00/6,428.43 = 2,768.63/x
  3. Step 3: Cross multiply
    4,658.00x = 6,428.43 × 2,768.63
  4. Step 4: Simplify right side
    4,658.00x = 17,797,912.01
  5. Step 5: Solve for x
    x = 17,797,912.01/4,658.00
  6. Step 6: Final answer
    x = 3,820.94

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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.