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Finding the Fourth Proportional to 2,997.60, 4,125.24 and 2,777.28

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Solution

The fourth proportional to 2,997.60, 4,125.24 and 2,777.28 is: 3,822.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.60 : 4,125.24 = 2,777.28 : x
  2. Step 2: Convert to fraction form
    2,997.60/4,125.24 = 2,777.28/x
  3. Step 3: Cross multiply
    2,997.60x = 4,125.24 × 2,777.28
  4. Step 4: Simplify right side
    2,997.60x = 11,456,946.55
  5. Step 5: Solve for x
    x = 11,456,946.55/2,997.60
  6. Step 6: Final answer
    x = 3,822.04

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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.