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Finding the Fourth Proportional to 5,650.63, 7,789.72 and 3,966.82

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Solution

The fourth proportional to 5,650.63, 7,789.72 and 3,966.82 is: 5,468.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,650.63 : 7,789.72 = 3,966.82 : x
  2. Step 2: Convert to fraction form
    5,650.63/7,789.72 = 3,966.82/x
  3. Step 3: Cross multiply
    5,650.63x = 7,789.72 × 3,966.82
  4. Step 4: Simplify right side
    5,650.63x = 30,900,417.09
  5. Step 5: Solve for x
    x = 30,900,417.09/5,650.63
  6. Step 6: Final answer
    x = 5,468.49

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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.