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Finding the Fourth Proportional to 5,161.50, 7,119.63 and 4,116.06

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Solution

The fourth proportional to 5,161.50, 7,119.63 and 4,116.06 is: 5,677.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.50 : 7,119.63 = 4,116.06 : x
  2. Step 2: Convert to fraction form
    5,161.50/7,119.63 = 4,116.06/x
  3. Step 3: Cross multiply
    5,161.50x = 7,119.63 × 4,116.06
  4. Step 4: Simplify right side
    5,161.50x = 29,304,824.26
  5. Step 5: Solve for x
    x = 29,304,824.26/5,161.50
  6. Step 6: Final answer
    x = 5,677.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.