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Finding the Fourth Proportional to 3,662.64, 5,052.65 and 2,245.86

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Solution

The fourth proportional to 3,662.64, 5,052.65 and 2,245.86 is: 3,098.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.64 : 5,052.65 = 2,245.86 : x
  2. Step 2: Convert to fraction form
    3,662.64/5,052.65 = 2,245.86/x
  3. Step 3: Cross multiply
    3,662.64x = 5,052.65 × 2,245.86
  4. Step 4: Simplify right side
    3,662.64x = 11,347,533.30
  5. Step 5: Solve for x
    x = 11,347,533.30/3,662.64
  6. Step 6: Final answer
    x = 3,098.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.