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Finding the Fourth Proportional to 4,507.29, 6,760.94 and 1,735.27

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Solution

The fourth proportional to 4,507.29, 6,760.94 and 1,735.27 is: 2,602.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.29 : 6,760.94 = 1,735.27 : x
  2. Step 2: Convert to fraction form
    4,507.29/6,760.94 = 1,735.27/x
  3. Step 3: Cross multiply
    4,507.29x = 6,760.94 × 1,735.27
  4. Step 4: Simplify right side
    4,507.29x = 11,732,013.87
  5. Step 5: Solve for x
    x = 11,732,013.87/4,507.29
  6. Step 6: Final answer
    x = 2,602.90

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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.