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Finding the Fourth Proportional to 4,126, 6,189.04 and 1,203.92

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Solution

The fourth proportional to 4,126, 6,189.04 and 1,203.92 is: 1,805.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,126 : 6,189.04 = 1,203.92 : x
  2. Step 2: Convert to fraction form
    4,126/6,189.04 = 1,203.92/x
  3. Step 3: Cross multiply
    4,126x = 6,189.04 × 1,203.92
  4. Step 4: Simplify right side
    4,126x = 7,451,109.04
  5. Step 5: Solve for x
    x = 7,451,109.04/4,126
  6. Step 6: Final answer
    x = 1,805.89

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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.