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Finding the Fourth Proportional to 5,536.36, 8,304.57 and 1,640.80

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Solution

The fourth proportional to 5,536.36, 8,304.57 and 1,640.80 is: 2,461.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,536.36 : 8,304.57 = 1,640.80 : x
  2. Step 2: Convert to fraction form
    5,536.36/8,304.57 = 1,640.80/x
  3. Step 3: Cross multiply
    5,536.36x = 8,304.57 × 1,640.80
  4. Step 4: Simplify right side
    5,536.36x = 13,626,138.46
  5. Step 5: Solve for x
    x = 13,626,138.46/5,536.36
  6. Step 6: Final answer
    x = 2,461.21

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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.