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Finding the Fourth Proportional to 4,276.71, 6,415.25 and 1,467.48

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Solution

The fourth proportional to 4,276.71, 6,415.25 and 1,467.48 is: 2,201.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,276.71 : 6,415.25 = 1,467.48 : x
  2. Step 2: Convert to fraction form
    4,276.71/6,415.25 = 1,467.48/x
  3. Step 3: Cross multiply
    4,276.71x = 6,415.25 × 1,467.48
  4. Step 4: Simplify right side
    4,276.71x = 9,414,237.12
  5. Step 5: Solve for x
    x = 9,414,237.12/4,276.71
  6. Step 6: Final answer
    x = 2,201.28

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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.