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Finding the Fourth Proportional to 4,200.48, 5,796.54 and 2,522.88

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Solution

The fourth proportional to 4,200.48, 5,796.54 and 2,522.88 is: 3,481.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.48 : 5,796.54 = 2,522.88 : x
  2. Step 2: Convert to fraction form
    4,200.48/5,796.54 = 2,522.88/x
  3. Step 3: Cross multiply
    4,200.48x = 5,796.54 × 2,522.88
  4. Step 4: Simplify right side
    4,200.48x = 14,623,974.84
  5. Step 5: Solve for x
    x = 14,623,974.84/4,200.48
  6. Step 6: Final answer
    x = 3,481.50

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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.