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Finding the Fourth Proportional to 4,135.63, 5,707.16 and 2,272.63

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Solution

The fourth proportional to 4,135.63, 5,707.16 and 2,272.63 is: 3,136.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135.63 : 5,707.16 = 2,272.63 : x
  2. Step 2: Convert to fraction form
    4,135.63/5,707.16 = 2,272.63/x
  3. Step 3: Cross multiply
    4,135.63x = 5,707.16 × 2,272.63
  4. Step 4: Simplify right side
    4,135.63x = 12,970,263.03
  5. Step 5: Solve for x
    x = 12,970,263.03/4,135.63
  6. Step 6: Final answer
    x = 3,136.22

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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.