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Finding the Fourth Proportional to 5,163.75, 7,746.84 and 1,701

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Solution

The fourth proportional to 5,163.75, 7,746.84 and 1,701 is: 2,551.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.75 : 7,746.84 = 1,701 : x
  2. Step 2: Convert to fraction form
    5,163.75/7,746.84 = 1,701/x
  3. Step 3: Cross multiply
    5,163.75x = 7,746.84 × 1,701
  4. Step 4: Simplify right side
    5,163.75x = 13,177,374.84
  5. Step 5: Solve for x
    x = 13,177,374.84/5,163.75
  6. Step 6: Final answer
    x = 2,551.90

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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.