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Finding the Fourth Proportional to 4,536.90, 6,836.22 and 3,733.20

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Solution

The fourth proportional to 4,536.90, 6,836.22 and 3,733.20 is: 5,625.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.90 : 6,836.22 = 3,733.20 : x
  2. Step 2: Convert to fraction form
    4,536.90/6,836.22 = 3,733.20/x
  3. Step 3: Cross multiply
    4,536.90x = 6,836.22 × 3,733.20
  4. Step 4: Simplify right side
    4,536.90x = 25,520,976.50
  5. Step 5: Solve for x
    x = 25,520,976.50/4,536.90
  6. Step 6: Final answer
    x = 5,625.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.