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Finding the Fourth Proportional to 3,468.09, 5,201.63 and 1,276.31

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Solution

The fourth proportional to 3,468.09, 5,201.63 and 1,276.31 is: 1,914.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.09 : 5,201.63 = 1,276.31 : x
  2. Step 2: Convert to fraction form
    3,468.09/5,201.63 = 1,276.31/x
  3. Step 3: Cross multiply
    3,468.09x = 5,201.63 × 1,276.31
  4. Step 4: Simplify right side
    3,468.09x = 6,638,886.00
  5. Step 5: Solve for x
    x = 6,638,886.00/3,468.09
  6. Step 6: Final answer
    x = 1,914.28

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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.