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Finding the Fourth Proportional to 4,750.79, 7,126.49 and 1,829.09

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Solution

The fourth proportional to 4,750.79, 7,126.49 and 1,829.09 is: 2,743.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,750.79 : 7,126.49 = 1,829.09 : x
  2. Step 2: Convert to fraction form
    4,750.79/7,126.49 = 1,829.09/x
  3. Step 3: Cross multiply
    4,750.79x = 7,126.49 × 1,829.09
  4. Step 4: Simplify right side
    4,750.79x = 13,034,982.45
  5. Step 5: Solve for x
    x = 13,034,982.45/4,750.79
  6. Step 6: Final answer
    x = 2,743.75

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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.