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Finding the Fourth Proportional to 5,566.52, 7,682.28 and 3,209.42

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Solution

The fourth proportional to 5,566.52, 7,682.28 and 3,209.42 is: 4,429.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566.52 : 7,682.28 = 3,209.42 : x
  2. Step 2: Convert to fraction form
    5,566.52/7,682.28 = 3,209.42/x
  3. Step 3: Cross multiply
    5,566.52x = 7,682.28 × 3,209.42
  4. Step 4: Simplify right side
    5,566.52x = 24,655,663.08
  5. Step 5: Solve for x
    x = 24,655,663.08/5,566.52
  6. Step 6: Final answer
    x = 4,429.28

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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.