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Finding the Fourth Proportional to 3,804.57, 5,699.10 and 3,104.27

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Solution

The fourth proportional to 3,804.57, 5,699.10 and 3,104.27 is: 4,650.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.57 : 5,699.10 = 3,104.27 : x
  2. Step 2: Convert to fraction form
    3,804.57/5,699.10 = 3,104.27/x
  3. Step 3: Cross multiply
    3,804.57x = 5,699.10 × 3,104.27
  4. Step 4: Simplify right side
    3,804.57x = 17,691,545.16
  5. Step 5: Solve for x
    x = 17,691,545.16/3,804.57
  6. Step 6: Final answer
    x = 4,650.08

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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.