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Finding the Fourth Proportional to 4,112, 5,674.64 and 2,249.04

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Solution

The fourth proportional to 4,112, 5,674.64 and 2,249.04 is: 3,103.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,112 : 5,674.64 = 2,249.04 : x
  2. Step 2: Convert to fraction form
    4,112/5,674.64 = 2,249.04/x
  3. Step 3: Cross multiply
    4,112x = 5,674.64 × 2,249.04
  4. Step 4: Simplify right side
    4,112x = 12,762,492.35
  5. Step 5: Solve for x
    x = 12,762,492.35/4,112
  6. Step 6: Final answer
    x = 3,103.72

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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.