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Finding the Fourth Proportional to 3,789.64, 5,651 and 3,526.64

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Solution

The fourth proportional to 3,789.64, 5,651 and 3,526.64 is: 5,258.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.64 : 5,651 = 3,526.64 : x
  2. Step 2: Convert to fraction form
    3,789.64/5,651 = 3,526.64/x
  3. Step 3: Cross multiply
    3,789.64x = 5,651 × 3,526.64
  4. Step 4: Simplify right side
    3,789.64x = 19,929,042.64
  5. Step 5: Solve for x
    x = 19,929,042.64/3,789.64
  6. Step 6: Final answer
    x = 5,258.82

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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.