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Finding the Fourth Proportional to 5,782.82, 7,980.28 and 3,264.92

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Solution

The fourth proportional to 5,782.82, 7,980.28 and 3,264.92 is: 4,505.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.82 : 7,980.28 = 3,264.92 : x
  2. Step 2: Convert to fraction form
    5,782.82/7,980.28 = 3,264.92/x
  3. Step 3: Cross multiply
    5,782.82x = 7,980.28 × 3,264.92
  4. Step 4: Simplify right side
    5,782.82x = 26,054,975.78
  5. Step 5: Solve for x
    x = 26,054,975.78/5,782.82
  6. Step 6: Final answer
    x = 4,505.58

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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.