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Finding the Fourth Proportional to 4,536.69, 6,802.21 and 4,149.96

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Solution

The fourth proportional to 4,536.69, 6,802.21 and 4,149.96 is: 6,222.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.69 : 6,802.21 = 4,149.96 : x
  2. Step 2: Convert to fraction form
    4,536.69/6,802.21 = 4,149.96/x
  3. Step 3: Cross multiply
    4,536.69x = 6,802.21 × 4,149.96
  4. Step 4: Simplify right side
    4,536.69x = 28,228,899.41
  5. Step 5: Solve for x
    x = 28,228,899.41/4,536.69
  6. Step 6: Final answer
    x = 6,222.36

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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.