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Finding the Fourth Proportional to 4,156.63, 5,736.15 and 2,293.63

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Solution

The fourth proportional to 4,156.63, 5,736.15 and 2,293.63 is: 3,165.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.63 : 5,736.15 = 2,293.63 : x
  2. Step 2: Convert to fraction form
    4,156.63/5,736.15 = 2,293.63/x
  3. Step 3: Cross multiply
    4,156.63x = 5,736.15 × 2,293.63
  4. Step 4: Simplify right side
    4,156.63x = 13,156,577.04
  5. Step 5: Solve for x
    x = 13,156,577.04/4,156.63
  6. Step 6: Final answer
    x = 3,165.21

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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.