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Finding the Fourth Proportional to 5,173.34, 7,759.88 and 1,277.78

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Solution

The fourth proportional to 5,173.34, 7,759.88 and 1,277.78 is: 1,916.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.34 : 7,759.88 = 1,277.78 : x
  2. Step 2: Convert to fraction form
    5,173.34/7,759.88 = 1,277.78/x
  3. Step 3: Cross multiply
    5,173.34x = 7,759.88 × 1,277.78
  4. Step 4: Simplify right side
    5,173.34x = 9,915,419.47
  5. Step 5: Solve for x
    x = 9,915,419.47/5,173.34
  6. Step 6: Final answer
    x = 1,916.64

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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.