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Finding the Fourth Proportional to 5,171.37, 7,752.65 and 2,050.65

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Solution

The fourth proportional to 5,171.37, 7,752.65 and 2,050.65 is: 3,074.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.37 : 7,752.65 = 2,050.65 : x
  2. Step 2: Convert to fraction form
    5,171.37/7,752.65 = 2,050.65/x
  3. Step 3: Cross multiply
    5,171.37x = 7,752.65 × 2,050.65
  4. Step 4: Simplify right side
    5,171.37x = 15,897,961.47
  5. Step 5: Solve for x
    x = 15,897,961.47/5,171.37
  6. Step 6: Final answer
    x = 3,074.23

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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.