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Finding the Fourth Proportional to 5,171.88, 7,758 and 1,276.32

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Solution

The fourth proportional to 5,171.88, 7,758 and 1,276.32 is: 1,914.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.88 : 7,758 = 1,276.32 : x
  2. Step 2: Convert to fraction form
    5,171.88/7,758 = 1,276.32/x
  3. Step 3: Cross multiply
    5,171.88x = 7,758 × 1,276.32
  4. Step 4: Simplify right side
    5,171.88x = 9,901,690.56
  5. Step 5: Solve for x
    x = 9,901,690.56/5,171.88
  6. Step 6: Final answer
    x = 1,914.52

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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.