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Finding the Fourth Proportional to 5,277.75, 7,910.93 and 3,430.19

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Solution

The fourth proportional to 5,277.75, 7,910.93 and 3,430.19 is: 5,141.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.75 : 7,910.93 = 3,430.19 : x
  2. Step 2: Convert to fraction form
    5,277.75/7,910.93 = 3,430.19/x
  3. Step 3: Cross multiply
    5,277.75x = 7,910.93 × 3,430.19
  4. Step 4: Simplify right side
    5,277.75x = 27,135,936.27
  5. Step 5: Solve for x
    x = 27,135,936.27/5,277.75
  6. Step 6: Final answer
    x = 5,141.57

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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.