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Finding the Fourth Proportional to 3,630.88, 5,008.53 and 2,302.30

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Solution

The fourth proportional to 3,630.88, 5,008.53 and 2,302.30 is: 3,175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630.88 : 5,008.53 = 2,302.30 : x
  2. Step 2: Convert to fraction form
    3,630.88/5,008.53 = 2,302.30/x
  3. Step 3: Cross multiply
    3,630.88x = 5,008.53 × 2,302.30
  4. Step 4: Simplify right side
    3,630.88x = 11,531,138.62
  5. Step 5: Solve for x
    x = 11,531,138.62/3,630.88
  6. Step 6: Final answer
    x = 3,175.85

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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.