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Finding the Fourth Proportional to 4,141.86, 5,716.17 and 3,092.10

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Solution

The fourth proportional to 4,141.86, 5,716.17 and 3,092.10 is: 4,267.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.86 : 5,716.17 = 3,092.10 : x
  2. Step 2: Convert to fraction form
    4,141.86/5,716.17 = 3,092.10/x
  3. Step 3: Cross multiply
    4,141.86x = 5,716.17 × 3,092.10
  4. Step 4: Simplify right side
    4,141.86x = 17,674,969.26
  5. Step 5: Solve for x
    x = 17,674,969.26/4,141.86
  6. Step 6: Final answer
    x = 4,267.40

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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.