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Finding the Fourth Proportional to 4,962.28, 6,847.26 and 2,972.44

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Solution

The fourth proportional to 4,962.28, 6,847.26 and 2,972.44 is: 4,101.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,962.28 : 6,847.26 = 2,972.44 : x
  2. Step 2: Convert to fraction form
    4,962.28/6,847.26 = 2,972.44/x
  3. Step 3: Cross multiply
    4,962.28x = 6,847.26 × 2,972.44
  4. Step 4: Simplify right side
    4,962.28x = 20,353,069.51
  5. Step 5: Solve for x
    x = 20,353,069.51/4,962.28
  6. Step 6: Final answer
    x = 4,101.56

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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.