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Finding the Fourth Proportional to 4,536.36, 6,805.74 and 2,455.44

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Solution

The fourth proportional to 4,536.36, 6,805.74 and 2,455.44 is: 3,683.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.36 : 6,805.74 = 2,455.44 : x
  2. Step 2: Convert to fraction form
    4,536.36/6,805.74 = 2,455.44/x
  3. Step 3: Cross multiply
    4,536.36x = 6,805.74 × 2,455.44
  4. Step 4: Simplify right side
    4,536.36x = 16,711,086.23
  5. Step 5: Solve for x
    x = 16,711,086.23/4,536.36
  6. Step 6: Final answer
    x = 3,683.81

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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.