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Finding the Fourth Proportional to 3,630.90, 5,431.95 and 3,149.30

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Solution

The fourth proportional to 3,630.90, 5,431.95 and 3,149.30 is: 4,711.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630.90 : 5,431.95 = 3,149.30 : x
  2. Step 2: Convert to fraction form
    3,630.90/5,431.95 = 3,149.30/x
  3. Step 3: Cross multiply
    3,630.90x = 5,431.95 × 3,149.30
  4. Step 4: Simplify right side
    3,630.90x = 17,106,840.14
  5. Step 5: Solve for x
    x = 17,106,840.14/3,630.90
  6. Step 6: Final answer
    x = 4,711.46

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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.