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Finding the Fourth Proportional to 5,202.94, 7,180.06 and 2,845.30

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Solution

The fourth proportional to 5,202.94, 7,180.06 and 2,845.30 is: 3,926.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.94 : 7,180.06 = 2,845.30 : x
  2. Step 2: Convert to fraction form
    5,202.94/7,180.06 = 2,845.30/x
  3. Step 3: Cross multiply
    5,202.94x = 7,180.06 × 2,845.30
  4. Step 4: Simplify right side
    5,202.94x = 20,429,424.72
  5. Step 5: Solve for x
    x = 20,429,424.72/5,202.94
  6. Step 6: Final answer
    x = 3,926.52

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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.