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Finding the Fourth Proportional to 5,272.94, 7,906.16 and 2,150.40

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Solution

The fourth proportional to 5,272.94, 7,906.16 and 2,150.40 is: 3,224.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272.94 : 7,906.16 = 2,150.40 : x
  2. Step 2: Convert to fraction form
    5,272.94/7,906.16 = 2,150.40/x
  3. Step 3: Cross multiply
    5,272.94x = 7,906.16 × 2,150.40
  4. Step 4: Simplify right side
    5,272.94x = 17,001,406.46
  5. Step 5: Solve for x
    x = 17,001,406.46/5,272.94
  6. Step 6: Final answer
    x = 3,224.27

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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.