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Finding the Fourth Proportional to 3,644.64, 5,459.04 and 2,668.50

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Solution

The fourth proportional to 3,644.64, 5,459.04 and 2,668.50 is: 3,996.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.64 : 5,459.04 = 2,668.50 : x
  2. Step 2: Convert to fraction form
    3,644.64/5,459.04 = 2,668.50/x
  3. Step 3: Cross multiply
    3,644.64x = 5,459.04 × 2,668.50
  4. Step 4: Simplify right side
    3,644.64x = 14,567,448.24
  5. Step 5: Solve for x
    x = 14,567,448.24/3,644.64
  6. Step 6: Final answer
    x = 3,996.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.