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Finding the Fourth Proportional to 3,674.64, 5,502.24 and 2,113.44

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Solution

The fourth proportional to 3,674.64, 5,502.24 and 2,113.44 is: 3,164.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.64 : 5,502.24 = 2,113.44 : x
  2. Step 2: Convert to fraction form
    3,674.64/5,502.24 = 2,113.44/x
  3. Step 3: Cross multiply
    3,674.64x = 5,502.24 × 2,113.44
  4. Step 4: Simplify right side
    3,674.64x = 11,628,654.11
  5. Step 5: Solve for x
    x = 11,628,654.11/3,674.64
  6. Step 6: Final answer
    x = 3,164.57

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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.