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Finding the Fourth Proportional to 5,632.14, 7,771.77 and 3,274.26

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Solution

The fourth proportional to 5,632.14, 7,771.77 and 3,274.26 is: 4,518.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.14 : 7,771.77 = 3,274.26 : x
  2. Step 2: Convert to fraction form
    5,632.14/7,771.77 = 3,274.26/x
  3. Step 3: Cross multiply
    5,632.14x = 7,771.77 × 3,274.26
  4. Step 4: Simplify right side
    5,632.14x = 25,446,795.64
  5. Step 5: Solve for x
    x = 25,446,795.64/5,632.14
  6. Step 6: Final answer
    x = 4,518.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.