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Finding the Fourth Proportional to 5,171.83, 7,758.65 and 1,473.97

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Solution

The fourth proportional to 5,171.83, 7,758.65 and 1,473.97 is: 2,211.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.83 : 7,758.65 = 1,473.97 : x
  2. Step 2: Convert to fraction form
    5,171.83/7,758.65 = 1,473.97/x
  3. Step 3: Cross multiply
    5,171.83x = 7,758.65 × 1,473.97
  4. Step 4: Simplify right side
    5,171.83x = 11,436,017.34
  5. Step 5: Solve for x
    x = 11,436,017.34/5,171.83
  6. Step 6: Final answer
    x = 2,211.21

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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.