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Finding the Fourth Proportional to 5,566.16, 7,682.56 and 3,469.88

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Solution

The fourth proportional to 5,566.16, 7,682.56 and 3,469.88 is: 4,789.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566.16 : 7,682.56 = 3,469.88 : x
  2. Step 2: Convert to fraction form
    5,566.16/7,682.56 = 3,469.88/x
  3. Step 3: Cross multiply
    5,566.16x = 7,682.56 × 3,469.88
  4. Step 4: Simplify right side
    5,566.16x = 26,657,514.21
  5. Step 5: Solve for x
    x = 26,657,514.21/5,566.16
  6. Step 6: Final answer
    x = 4,789.22

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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.