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Finding the Fourth Proportional to 3,846.78, 5,765.64 and 2,204.10

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Solution

The fourth proportional to 3,846.78, 5,765.64 and 2,204.10 is: 3,303.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.78 : 5,765.64 = 2,204.10 : x
  2. Step 2: Convert to fraction form
    3,846.78/5,765.64 = 2,204.10/x
  3. Step 3: Cross multiply
    3,846.78x = 5,765.64 × 2,204.10
  4. Step 4: Simplify right side
    3,846.78x = 12,708,047.12
  5. Step 5: Solve for x
    x = 12,708,047.12/3,846.78
  6. Step 6: Final answer
    x = 3,303.55

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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.