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Finding the Fourth Proportional to 5,138.59, 7,709.93 and 3,059.57

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Solution

The fourth proportional to 5,138.59, 7,709.93 and 3,059.57 is: 4,590.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.59 : 7,709.93 = 3,059.57 : x
  2. Step 2: Convert to fraction form
    5,138.59/7,709.93 = 3,059.57/x
  3. Step 3: Cross multiply
    5,138.59x = 7,709.93 × 3,059.57
  4. Step 4: Simplify right side
    5,138.59x = 23,589,016.68
  5. Step 5: Solve for x
    x = 23,589,016.68/5,138.59
  6. Step 6: Final answer
    x = 4,590.57

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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.