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Finding the Fourth Proportional to 5,797.46, 7,992.94 and 4,734.13

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Solution

The fourth proportional to 5,797.46, 7,992.94 and 4,734.13 is: 6,526.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.46 : 7,992.94 = 4,734.13 : x
  2. Step 2: Convert to fraction form
    5,797.46/7,992.94 = 4,734.13/x
  3. Step 3: Cross multiply
    5,797.46x = 7,992.94 × 4,734.13
  4. Step 4: Simplify right side
    5,797.46x = 37,839,617.04
  5. Step 5: Solve for x
    x = 37,839,617.04/5,797.46
  6. Step 6: Final answer
    x = 6,526.93

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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.