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Finding the Fourth Proportional to 3,775.76, 5,629.78 and 3,631.28

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Solution

The fourth proportional to 3,775.76, 5,629.78 and 3,631.28 is: 5,414.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.76 : 5,629.78 = 3,631.28 : x
  2. Step 2: Convert to fraction form
    3,775.76/5,629.78 = 3,631.28/x
  3. Step 3: Cross multiply
    3,775.76x = 5,629.78 × 3,631.28
  4. Step 4: Simplify right side
    3,775.76x = 20,443,307.52
  5. Step 5: Solve for x
    x = 20,443,307.52/3,775.76
  6. Step 6: Final answer
    x = 5,414.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.