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Finding the Fourth Proportional to 3,850.64, 5,776.76 and 1,253.36

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Solution

The fourth proportional to 3,850.64, 5,776.76 and 1,253.36 is: 1,880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.64 : 5,776.76 = 1,253.36 : x
  2. Step 2: Convert to fraction form
    3,850.64/5,776.76 = 1,253.36/x
  3. Step 3: Cross multiply
    3,850.64x = 5,776.76 × 1,253.36
  4. Step 4: Simplify right side
    3,850.64x = 7,240,359.91
  5. Step 5: Solve for x
    x = 7,240,359.91/3,850.64
  6. Step 6: Final answer
    x = 1,880.30

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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.