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Finding the Fourth Proportional to 6,201.80, 9,291.90 and 3,890.60

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Solution

The fourth proportional to 6,201.80, 9,291.90 and 3,890.60 is: 5,829.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.80 : 9,291.90 = 3,890.60 : x
  2. Step 2: Convert to fraction form
    6,201.80/9,291.90 = 3,890.60/x
  3. Step 3: Cross multiply
    6,201.80x = 9,291.90 × 3,890.60
  4. Step 4: Simplify right side
    6,201.80x = 36,151,066.14
  5. Step 5: Solve for x
    x = 36,151,066.14/6,201.80
  6. Step 6: Final answer
    x = 5,829.12

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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.