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Finding the Fourth Proportional to 5,973.64, 8,243.26 and 3,320.96

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Solution

The fourth proportional to 5,973.64, 8,243.26 and 3,320.96 is: 4,582.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,973.64 : 8,243.26 = 3,320.96 : x
  2. Step 2: Convert to fraction form
    5,973.64/8,243.26 = 3,320.96/x
  3. Step 3: Cross multiply
    5,973.64x = 8,243.26 × 3,320.96
  4. Step 4: Simplify right side
    5,973.64x = 27,375,536.73
  5. Step 5: Solve for x
    x = 27,375,536.73/5,973.64
  6. Step 6: Final answer
    x = 4,582.72

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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.