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Finding the Fourth Proportional to 5,171.54, 7,758.51 and 1,473.81

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Solution

The fourth proportional to 5,171.54, 7,758.51 and 1,473.81 is: 2,211.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.54 : 7,758.51 = 1,473.81 : x
  2. Step 2: Convert to fraction form
    5,171.54/7,758.51 = 1,473.81/x
  3. Step 3: Cross multiply
    5,171.54x = 7,758.51 × 1,473.81
  4. Step 4: Simplify right side
    5,171.54x = 11,434,569.62
  5. Step 5: Solve for x
    x = 11,434,569.62/5,171.54
  6. Step 6: Final answer
    x = 2,211.06

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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.