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Finding the Fourth Proportional to 5,718.69, 7,892.19 and 3,201.04

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Solution

The fourth proportional to 5,718.69, 7,892.19 and 3,201.04 is: 4,417.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.69 : 7,892.19 = 3,201.04 : x
  2. Step 2: Convert to fraction form
    5,718.69/7,892.19 = 3,201.04/x
  3. Step 3: Cross multiply
    5,718.69x = 7,892.19 × 3,201.04
  4. Step 4: Simplify right side
    5,718.69x = 25,263,215.88
  5. Step 5: Solve for x
    x = 25,263,215.88/5,718.69
  6. Step 6: Final answer
    x = 4,417.66

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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.