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Finding the Fourth Proportional to 4,825.52, 6,651.96 and 3,775.76

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Solution

The fourth proportional to 4,825.52, 6,651.96 and 3,775.76 is: 5,204.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,825.52 : 6,651.96 = 3,775.76 : x
  2. Step 2: Convert to fraction form
    4,825.52/6,651.96 = 3,775.76/x
  3. Step 3: Cross multiply
    4,825.52x = 6,651.96 × 3,775.76
  4. Step 4: Simplify right side
    4,825.52x = 25,116,204.49
  5. Step 5: Solve for x
    x = 25,116,204.49/4,825.52
  6. Step 6: Final answer
    x = 5,204.87

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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.