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Finding the Fourth Proportional to 5,189.67, 7,110.59 and 5,120.42

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Solution

The fourth proportional to 5,189.67, 7,110.59 and 5,120.42 is: 7,015.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.67 : 7,110.59 = 5,120.42 : x
  2. Step 2: Convert to fraction form
    5,189.67/7,110.59 = 5,120.42/x
  3. Step 3: Cross multiply
    5,189.67x = 7,110.59 × 5,120.42
  4. Step 4: Simplify right side
    5,189.67x = 36,409,146.09
  5. Step 5: Solve for x
    x = 36,409,146.09/5,189.67
  6. Step 6: Final answer
    x = 7,015.70

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.