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Finding the Fourth Proportional to 5,137.52, 7,706.33 and 1,241.96

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Solution

The fourth proportional to 5,137.52, 7,706.33 and 1,241.96 is: 1,862.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.52 : 7,706.33 = 1,241.96 : x
  2. Step 2: Convert to fraction form
    5,137.52/7,706.33 = 1,241.96/x
  3. Step 3: Cross multiply
    5,137.52x = 7,706.33 × 1,241.96
  4. Step 4: Simplify right side
    5,137.52x = 9,570,947.40
  5. Step 5: Solve for x
    x = 9,570,947.40/5,137.52
  6. Step 6: Final answer
    x = 1,862.95

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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.