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Finding the Fourth Proportional to 5,140.28, 7,722.73 and 3,295

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Solution

The fourth proportional to 5,140.28, 7,722.73 and 3,295 is: 4,950.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.28 : 7,722.73 = 3,295 : x
  2. Step 2: Convert to fraction form
    5,140.28/7,722.73 = 3,295/x
  3. Step 3: Cross multiply
    5,140.28x = 7,722.73 × 3,295
  4. Step 4: Simplify right side
    5,140.28x = 25,446,395.35
  5. Step 5: Solve for x
    x = 25,446,395.35/5,140.28
  6. Step 6: Final answer
    x = 4,950.39

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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.