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Finding the Fourth Proportional to 5,536.62, 8,306.14 and 1,641.33

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Solution

The fourth proportional to 5,536.62, 8,306.14 and 1,641.33 is: 2,462.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,536.62 : 8,306.14 = 1,641.33 : x
  2. Step 2: Convert to fraction form
    5,536.62/8,306.14 = 1,641.33/x
  3. Step 3: Cross multiply
    5,536.62x = 8,306.14 × 1,641.33
  4. Step 4: Simplify right side
    5,536.62x = 13,633,116.77
  5. Step 5: Solve for x
    x = 13,633,116.77/5,536.62
  6. Step 6: Final answer
    x = 2,462.35

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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.