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Finding the Fourth Proportional to 5,892.64, 8,129.28 and 3,653.92

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Solution

The fourth proportional to 5,892.64, 8,129.28 and 3,653.92 is: 5,040.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.64 : 8,129.28 = 3,653.92 : x
  2. Step 2: Convert to fraction form
    5,892.64/8,129.28 = 3,653.92/x
  3. Step 3: Cross multiply
    5,892.64x = 8,129.28 × 3,653.92
  4. Step 4: Simplify right side
    5,892.64x = 29,703,738.78
  5. Step 5: Solve for x
    x = 29,703,738.78/5,892.64
  6. Step 6: Final answer
    x = 5,040.82

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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.