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Finding the Fourth Proportional to 4,822.44, 7,230.02 and 3,848.01

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Solution

The fourth proportional to 4,822.44, 7,230.02 and 3,848.01 is: 5,769.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.44 : 7,230.02 = 3,848.01 : x
  2. Step 2: Convert to fraction form
    4,822.44/7,230.02 = 3,848.01/x
  3. Step 3: Cross multiply
    4,822.44x = 7,230.02 × 3,848.01
  4. Step 4: Simplify right side
    4,822.44x = 27,821,170.02
  5. Step 5: Solve for x
    x = 27,821,170.02/4,822.44
  6. Step 6: Final answer
    x = 5,769.11

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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.