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Finding the Fourth Proportional to 5,754.07, 8,632.93 and 2,056.22

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Solution

The fourth proportional to 5,754.07, 8,632.93 and 2,056.22 is: 3,084.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.07 : 8,632.93 = 2,056.22 : x
  2. Step 2: Convert to fraction form
    5,754.07/8,632.93 = 2,056.22/x
  3. Step 3: Cross multiply
    5,754.07x = 8,632.93 × 2,056.22
  4. Step 4: Simplify right side
    5,754.07x = 17,751,191.25
  5. Step 5: Solve for x
    x = 17,751,191.25/5,754.07
  6. Step 6: Final answer
    x = 3,084.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.