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Finding the Fourth Proportional to 5,566.88, 7,682.30 and 3,082.88

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Solution

The fourth proportional to 5,566.88, 7,682.30 and 3,082.88 is: 4,254.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566.88 : 7,682.30 = 3,082.88 : x
  2. Step 2: Convert to fraction form
    5,566.88/7,682.30 = 3,082.88/x
  3. Step 3: Cross multiply
    5,566.88x = 7,682.30 × 3,082.88
  4. Step 4: Simplify right side
    5,566.88x = 23,683,555.20
  5. Step 5: Solve for x
    x = 23,683,555.20/5,566.88
  6. Step 6: Final answer
    x = 4,254.37

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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.