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Finding the Fourth Proportional to 3,259.40, 4,887.58 and 950.44

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Solution

The fourth proportional to 3,259.40, 4,887.58 and 950.44 is: 1,425.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.40 : 4,887.58 = 950.44 : x
  2. Step 2: Convert to fraction form
    3,259.40/4,887.58 = 950.44/x
  3. Step 3: Cross multiply
    3,259.40x = 4,887.58 × 950.44
  4. Step 4: Simplify right side
    3,259.40x = 4,645,351.54
  5. Step 5: Solve for x
    x = 4,645,351.54/3,259.40
  6. Step 6: Final answer
    x = 1,425.22

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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.