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Finding the Fourth Proportional to 3,467.10, 5,203.08 and 3,160.92

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Solution

The fourth proportional to 3,467.10, 5,203.08 and 3,160.92 is: 4,743.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.10 : 5,203.08 = 3,160.92 : x
  2. Step 2: Convert to fraction form
    3,467.10/5,203.08 = 3,160.92/x
  3. Step 3: Cross multiply
    3,467.10x = 5,203.08 × 3,160.92
  4. Step 4: Simplify right side
    3,467.10x = 16,446,519.63
  5. Step 5: Solve for x
    x = 16,446,519.63/3,467.10
  6. Step 6: Final answer
    x = 4,743.60

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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.