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Finding the Fourth Proportional to 5,632.56, 7,772.93 and 3,080.33

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Solution

The fourth proportional to 5,632.56, 7,772.93 and 3,080.33 is: 4,250.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.56 : 7,772.93 = 3,080.33 : x
  2. Step 2: Convert to fraction form
    5,632.56/7,772.93 = 3,080.33/x
  3. Step 3: Cross multiply
    5,632.56x = 7,772.93 × 3,080.33
  4. Step 4: Simplify right side
    5,632.56x = 23,943,135.20
  5. Step 5: Solve for x
    x = 23,943,135.20/5,632.56
  6. Step 6: Final answer
    x = 4,250.84

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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.