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Finding the Fourth Proportional to 5,736.63, 7,911.51 and 4,142.87

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Solution

The fourth proportional to 5,736.63, 7,911.51 and 4,142.87 is: 5,713.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.63 : 7,911.51 = 4,142.87 : x
  2. Step 2: Convert to fraction form
    5,736.63/7,911.51 = 4,142.87/x
  3. Step 3: Cross multiply
    5,736.63x = 7,911.51 × 4,142.87
  4. Step 4: Simplify right side
    5,736.63x = 32,776,317.88
  5. Step 5: Solve for x
    x = 32,776,317.88/5,736.63
  6. Step 6: Final answer
    x = 5,713.51

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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.