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Finding the Fourth Proportional to 5,173.11, 7,759.62 and 1,277.46

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Solution

The fourth proportional to 5,173.11, 7,759.62 and 1,277.46 is: 1,916.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.11 : 7,759.62 = 1,277.46 : x
  2. Step 2: Convert to fraction form
    5,173.11/7,759.62 = 1,277.46/x
  3. Step 3: Cross multiply
    5,173.11x = 7,759.62 × 1,277.46
  4. Step 4: Simplify right side
    5,173.11x = 9,912,604.17
  5. Step 5: Solve for x
    x = 9,912,604.17/5,173.11
  6. Step 6: Final answer
    x = 1,916.18

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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.