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Finding the Fourth Proportional to 5,189.98, 7,162.98 and 3,065.74

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Solution

The fourth proportional to 5,189.98, 7,162.98 and 3,065.74 is: 4,231.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.98 : 7,162.98 = 3,065.74 : x
  2. Step 2: Convert to fraction form
    5,189.98/7,162.98 = 3,065.74/x
  3. Step 3: Cross multiply
    5,189.98x = 7,162.98 × 3,065.74
  4. Step 4: Simplify right side
    5,189.98x = 21,959,834.31
  5. Step 5: Solve for x
    x = 21,959,834.31/5,189.98
  6. Step 6: Final answer
    x = 4,231.20

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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.