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Finding the Fourth Proportional to 5,653.29, 7,797.62 and 3,881.82

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Solution

The fourth proportional to 5,653.29, 7,797.62 and 3,881.82 is: 5,354.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.29 : 7,797.62 = 3,881.82 : x
  2. Step 2: Convert to fraction form
    5,653.29/7,797.62 = 3,881.82/x
  3. Step 3: Cross multiply
    5,653.29x = 7,797.62 × 3,881.82
  4. Step 4: Simplify right side
    5,653.29x = 30,268,937.86
  5. Step 5: Solve for x
    x = 30,268,937.86/5,653.29
  6. Step 6: Final answer
    x = 5,354.22

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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.