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Finding the Fourth Proportional to 4,135.66, 5,707.21 and 2,272.66

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Solution

The fourth proportional to 4,135.66, 5,707.21 and 2,272.66 is: 3,136.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135.66 : 5,707.21 = 2,272.66 : x
  2. Step 2: Convert to fraction form
    4,135.66/5,707.21 = 2,272.66/x
  3. Step 3: Cross multiply
    4,135.66x = 5,707.21 × 2,272.66
  4. Step 4: Simplify right side
    4,135.66x = 12,970,547.88
  5. Step 5: Solve for x
    x = 12,970,547.88/4,135.66
  6. Step 6: Final answer
    x = 3,136.27

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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.