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Finding the Fourth Proportional to 5,171.94, 7,758.27 and 1,711.62

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Solution

The fourth proportional to 5,171.94, 7,758.27 and 1,711.62 is: 2,567.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.94 : 7,758.27 = 1,711.62 : x
  2. Step 2: Convert to fraction form
    5,171.94/7,758.27 = 1,711.62/x
  3. Step 3: Cross multiply
    5,171.94x = 7,758.27 × 1,711.62
  4. Step 4: Simplify right side
    5,171.94x = 13,279,210.10
  5. Step 5: Solve for x
    x = 13,279,210.10/5,171.94
  6. Step 6: Final answer
    x = 2,567.55

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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.