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Finding the Fourth Proportional to 5,632.54, 7,773.57 and 3,274.67

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Solution

The fourth proportional to 5,632.54, 7,773.57 and 3,274.67 is: 4,519.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.54 : 7,773.57 = 3,274.67 : x
  2. Step 2: Convert to fraction form
    5,632.54/7,773.57 = 3,274.67/x
  3. Step 3: Cross multiply
    5,632.54x = 7,773.57 × 3,274.67
  4. Step 4: Simplify right side
    5,632.54x = 25,455,895.91
  5. Step 5: Solve for x
    x = 25,455,895.91/5,632.54
  6. Step 6: Final answer
    x = 4,519.44

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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.