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Finding the Fourth Proportional to 5,536.96, 8,306.64 and 1,641.68

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Solution

The fourth proportional to 5,536.96, 8,306.64 and 1,641.68 is: 2,462.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,536.96 : 8,306.64 = 1,641.68 : x
  2. Step 2: Convert to fraction form
    5,536.96/8,306.64 = 1,641.68/x
  3. Step 3: Cross multiply
    5,536.96x = 8,306.64 × 1,641.68
  4. Step 4: Simplify right side
    5,536.96x = 13,636,844.76
  5. Step 5: Solve for x
    x = 13,636,844.76/5,536.96
  6. Step 6: Final answer
    x = 2,462.88

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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.