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Finding the Fourth Proportional to 5,606.80, 7,730.16 and 3,835.33

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Solution

The fourth proportional to 5,606.80, 7,730.16 and 3,835.33 is: 5,287.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.80 : 7,730.16 = 3,835.33 : x
  2. Step 2: Convert to fraction form
    5,606.80/7,730.16 = 3,835.33/x
  3. Step 3: Cross multiply
    5,606.80x = 7,730.16 × 3,835.33
  4. Step 4: Simplify right side
    5,606.80x = 29,647,714.55
  5. Step 5: Solve for x
    x = 29,647,714.55/5,606.80
  6. Step 6: Final answer
    x = 5,287.81

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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.