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Finding the Fourth Proportional to 4,119.25, 6,178.87 and 999.26

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Solution

The fourth proportional to 4,119.25, 6,178.87 and 999.26 is: 1,498.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,119.25 : 6,178.87 = 999.26 : x
  2. Step 2: Convert to fraction form
    4,119.25/6,178.87 = 999.26/x
  3. Step 3: Cross multiply
    4,119.25x = 6,178.87 × 999.26
  4. Step 4: Simplify right side
    4,119.25x = 6,174,280.97
  5. Step 5: Solve for x
    x = 6,174,280.97/4,119.25
  6. Step 6: Final answer
    x = 1,498.89

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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.