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Finding the Fourth Proportional to 3,669.91, 5,492.10 and 3,004.09

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Solution

The fourth proportional to 3,669.91, 5,492.10 and 3,004.09 is: 4,495.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.91 : 5,492.10 = 3,004.09 : x
  2. Step 2: Convert to fraction form
    3,669.91/5,492.10 = 3,004.09/x
  3. Step 3: Cross multiply
    3,669.91x = 5,492.10 × 3,004.09
  4. Step 4: Simplify right side
    3,669.91x = 16,498,760.22
  5. Step 5: Solve for x
    x = 16,498,760.22/3,669.91
  6. Step 6: Final answer
    x = 4,495.69

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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.